| Base | Representation |
|---|---|
| bin | 11001010011110… |
| … | …011010110000000 |
| 3 | 1002121000000010000 |
| 4 | 121103303112000 |
| 5 | 1332200341230 |
| 6 | 110045040000 |
| 7 | 13344136245 |
| oct | 3123632600 |
| 9 | 1077000100 |
| 10 | 424621440 |
| 11 | 1a8762411 |
| 12 | ba256000 |
| 13 | 69c823b9 |
| 14 | 405735cc |
| 15 | 27428b60 |
| hex | 194f3580 |
424621440 has 160 divisors (see below), whose sum is σ = 1516584960. Its totient is φ = 113218560.
The previous prime is 424621429. The next prime is 424621441. The reversal of 424621440 is 44126424.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (424621441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47745 + ... + 55935.
It is an arithmetic number, because the mean of its divisors is an integer number (9478656).
Almost surely, 2424621440 is an apocalyptic number.
424621440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 424621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758292480).
424621440 is an abundant number, since it is smaller than the sum of its proper divisors (1091963520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424621440 is an equidigital number, since it uses as much as digits as its factorization.
424621440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8222 (or 8201 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
The square root of 424621440 is about 20606.3446540137. The cubic root of 424621440 is about 751.6240009564.
Adding to 424621440 its reverse (44126424), we get a palindrome (468747864).
It can be divided in two parts, 4 and 24621440, that added together give a square (24621444 = 49622).
The spelling of 424621440 in words is "four hundred twenty-four million, six hundred twenty-one thousand, four hundred forty".
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