402112007 has 16 divisors (see below), whose sum is σ = 451435680. Its totient is φ = 355056000.

The previous prime is 402112001. The next prime is 402112021. The reversal of 402112007 is 700211204.

It is a cyclic number.

It is not a de Polignac number, because 402112007 - 2²⁰ = 401063431 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55469 + ... + 62297.

It is an arithmetic number, because the mean of its divisors is an integer number (28214730).

Almost surely, 2^402112007 is an apocalyptic number.

402112007 is a deficient number, since it is larger than the sum of its proper divisors (49323673).

402112007 is a wasteful number, since it uses less digits than its factorization.

402112007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 402112007 is about 20052.7306619323. The cubic root of 402112007 is about 738.1008074387.

The spelling of 402112007 in words is "four hundred two million, one hundred twelve thousand, seven".