| Base | Representation |
|---|---|
| bin | 11000000000010… |
| … | …000011010000000 |
| 3 | 1001001210022111210 |
| 4 | 120000100122000 |
| 5 | 1311044023014 |
| 6 | 103543410120 |
| 7 | 12660031623 |
| oct | 3000203200 |
| 9 | 1031708453 |
| 10 | 402720384 |
| 11 | 197363870 |
| 12 | b2a53940 |
| 13 | 655848b1 |
| 14 | 3b6b1dba |
| 15 | 2554e859 |
| hex | 18010680 |
402720384 has 128 divisors (see below), whose sum is σ = 1185223680. Its totient is φ = 120130560.
The previous prime is 402720379. The next prime is 402720389. The reversal of 402720384 is 483027204.
It is an interprime number because it is at equal distance from previous prime (402720379) and next prime (402720389).
It is a tau number, because it is divible by the number of its divisors (128).
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (402720389) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282297 + ... + 283719.
It is an arithmetic number, because the mean of its divisors is an integer number (9259560).
Almost surely, 2402720384 is an apocalyptic number.
402720384 is a gapful number since it is divisible by the number (44) 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 402720384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592611840).
402720384 is an abundant number, since it is smaller than the sum of its proper divisors (782503296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
402720384 is a wasteful number, since it uses less digits than its factorization.
402720384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1518 (or 1506 counting only the distinct ones).
The product of its (nonzero) digits is 10752, while the sum is 30.
The square root of 402720384 is about 20067.8943589007. The cubic root of 402720384 is about 738.4728574120.
Adding to 402720384 its reverse (483027204), we get a palindrome (885747588).
The spelling of 402720384 in words is "four hundred two million, seven hundred twenty thousand, three hundred eighty-four".
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