402564096 has 297 divisors, whose sum is σ = 1348459203. Its totient is φ = 115568640.

The previous prime is 402564089. The next prime is 402564161. The reversal of 402564096 is 690465204.

The square root of 402564096 is 20064.

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

402564096 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 640 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 402564096.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21187575 + ... + 21187593.

Almost surely, 2^402564096 is an apocalyptic number.

402564096 is the 20064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402564096

402564096 is an abundant number, since it is smaller than the sum of its proper divisors (945895107).

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

402564096 is a wasteful number, since it uses less digits than its factorization.

402564096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 402564096 is about 738.3773160357.

Multiplying 402564096 by its sum of digits (36), we get a square (14492307456 = 120384²).

402564096 divided by its sum of digits (36) gives a square (11182336 = 3344²).

It can be divided in two parts, 4025 and 64096, that added together give a square (68121 = 261²).

The spelling of 402564096 in words is "four hundred two million, five hundred sixty-four thousand, ninety-six".