402912 has 36 divisors (see below), whose sum is σ = 1146600. Its totient is φ = 134208.

The previous prime is 402881. The next prime is 402923. The reversal of 402912 is 219204.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 402912.

It is an unprimeable number.

402912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 412 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (31850).

2⁴⁰²⁹¹² is an apocalyptic number.

It is an amenable number.

402912 is an abundant number, since it is smaller than the sum of its proper divisors (743688).

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

402912 is a wasteful number, since it uses less digits than its factorization.

402912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 402912 is about 634.7534954610. The cubic root of 402912 is about 73.8589961639.

The spelling of 402912 in words is "four hundred two thousand, nine hundred twelve".