402345216 has 432 divisors, whose sum is σ = 1517792640. Its totient is φ = 99532800.

The previous prime is 402345211. The next prime is 402345221. The reversal of 402345216 is 612543204.

402345216 is a `hidden beast` number, since 402 + 3 + 45 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (402345211) and next prime (402345221).

It is a self number, because there is not a number n which added to its sum of digits gives 402345216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402345211) 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, 3983566 + ... + 3983666.

Almost surely, 2^402345216 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 402345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758896320).

402345216 is an abundant number, since it is smaller than the sum of its proper divisors (1115447424).

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

402345216 is a wasteful number, since it uses less digits than its factorization.

402345216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

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

The square root of 402345216 is about 20058.5447129147. The cubic root of 402345216 is about 738.2434695846.

The spelling of 402345216 in words is "four hundred two million, three hundred forty-five thousand, two hundred sixteen".