402645456 has 60 divisors (see below), whose sum is σ = 1132591200. Its totient is φ = 133531200.

The previous prime is 402645449. The next prime is 402645469. The reversal of 402645456 is 654546204.

402645456 is a `hidden beast` number, since 4 + 0 + 2 + 645 + 4 + 5 + 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 402645456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21631 + ... + 35681.

It is an arithmetic number, because the mean of its divisors is an integer number (18876520).

Almost surely, 2^402645456 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 402645456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566295600).

402645456 is an abundant number, since it is smaller than the sum of its proper divisors (729945744).

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

402645456 is a wasteful number, since it uses less digits than its factorization.

402645456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14264 (or 14255 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 402645456 is about 20066.0274095298. The cubic root of 402645456 is about 738.4270558017.

The spelling of 402645456 in words is "four hundred two million, six hundred forty-five thousand, four hundred fifty-six".