456131406 has 32 divisors (see below), whose sum is σ = 927583488. Its totient is φ = 149502080.

The previous prime is 456131387. The next prime is 456131407. The reversal of 456131406 is 604131654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456131407) 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, 187510 + ... + 189926.

It is an arithmetic number, because the mean of its divisors is an integer number (28986984).

Almost surely, 2^456131406 is an apocalyptic number.

456131406 is an abundant number, since it is smaller than the sum of its proper divisors (471452082).

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

456131406 is a wasteful number, since it uses less digits than its factorization.

456131406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 456131406 is about 21357.2331073105. The cubic root of 456131406 is about 769.7741542626.

The spelling of 456131406 in words is "four hundred fifty-six million, one hundred thirty-one thousand, four hundred six".