424806240 has 96 divisors (see below), whose sum is σ = 1347978240. Its totient is φ = 112449024.

The previous prime is 424806223. The next prime is 424806253. The reversal of 424806240 is 42608424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 424806198 and 424806207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63537 + ... + 69903.

It is an arithmetic number, because the mean of its divisors is an integer number (14041440).

Almost surely, 2^424806240 is an apocalyptic number.

424806240 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 424806240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673989120).

424806240 is an abundant number, since it is smaller than the sum of its proper divisors (923172000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424806240 is a wasteful number, since it uses less digits than its factorization.

424806240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6524 (or 6516 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 424806240 is about 20610.8282220778. The cubic root of 424806240 is about 751.7330235326.

The spelling of 424806240 in words is "four hundred twenty-four million, eight hundred six thousand, two hundred forty".