402724624 has 45 divisors (see below), whose sum is σ = 812811103. Its totient is φ = 193294976.

The previous prime is 402724601. The next prime is 402724633. The reversal of 402724624 is 426427204.

The square root of 402724624 is 20068.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 94090000 + 308634624 = 9700^2 + 17568^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2327802 + ... + 2327974.

Almost surely, 2^402724624 is an apocalyptic number.

402724624 is the 20068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402724624

402724624 is an abundant number, since it is smaller than the sum of its proper divisors (410086479).

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

402724624 is an equidigital number, since it uses as much as digits as its factorization.

402724624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The cubic root of 402724624 is about 738.4754490480.

The spelling of 402724624 in words is "four hundred two million, seven hundred twenty-four thousand, six hundred twenty-four".