402735264 has 48 divisors (see below), whose sum is σ = 1064820960. Its totient is φ = 133274880.

The previous prime is 402735259. The next prime is 402735293. The reversal of 402735264 is 462537204.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1747 + ... + 28434.

It is an arithmetic number, because the mean of its divisors is an integer number (22183770).

Almost surely, 2^402735264 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 402735264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532410480).

402735264 is an abundant number, since it is smaller than the sum of its proper divisors (662085696).

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

402735264 is a wasteful number, since it uses less digits than its factorization.

402735264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30333 (or 30325 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 402735264 is about 20068.2650969136. The cubic root of 402735264 is about 738.4819525072.

The spelling of 402735264 in words is "four hundred two million, seven hundred thirty-five thousand, two hundred sixty-four".