402315264 has 288 divisors, whose sum is σ = 1323635040. Its totient is φ = 116785152.

The previous prime is 402315223. The next prime is 402315271. The reversal of 402315264 is 462513204.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5511132 + ... + 5511204.

It is an arithmetic number, because the mean of its divisors is an integer number (4595955).

Almost surely, 2^402315264 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 402315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661817520).

402315264 is an abundant number, since it is smaller than the sum of its proper divisors (921319776).

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

402315264 is a wasteful number, since it uses less digits than its factorization.

402315264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 402315264 is about 20057.7980845356. The cubic root of 402315264 is about 738.2251499789.

Adding to 402315264 its reverse (462513204), we get a palindrome (864828468).

The spelling of 402315264 in words is "four hundred two million, three hundred fifteen thousand, two hundred sixty-four".