402532416 has 336 divisors, whose sum is σ = 1413467328. Its totient is φ = 111974400.

The previous prime is 402532411. The next prime is 402532447. The reversal of 402532416 is 614235204.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 402532416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402532411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2223846 + ... + 2224026.

It is an arithmetic number, because the mean of its divisors is an integer number (4206748).

Almost surely, 2^402532416 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 402532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706733664).

402532416 is an abundant number, since it is smaller than the sum of its proper divisors (1010934912).

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

402532416 is a wasteful number, since it uses less digits than its factorization.

402532416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

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

The square root of 402532416 is about 20063.2105107832. The cubic root of 402532416 is about 738.3579465264.

The spelling of 402532416 in words is "four hundred two million, five hundred thirty-two thousand, four hundred sixteen".