402764032 has 72 divisors (see below), whose sum is σ = 883596672. Its totient is φ = 181708800.

The previous prime is 402763993. The next prime is 402764039. The reversal of 402764032 is 230467204.

It is a hoax number, since the sum of its digits (28) 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 (402764039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441657 + ... + 442567.

It is an arithmetic number, because the mean of its divisors is an integer number (12272176).

Almost surely, 2^402764032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441798336).

402764032 is an abundant number, since it is smaller than the sum of its proper divisors (480832640).

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

402764032 is a wasteful number, since it uses less digits than its factorization.

402764032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 402764032 is about 20068.9818376519. The cubic root of 402764032 is about 738.4995357229.

The spelling of 402764032 in words is "four hundred two million, seven hundred sixty-four thousand, thirty-two".