407142504 has 64 divisors (see below), whose sum is σ = 1180137600. Its totient is φ = 129811968.

The previous prime is 407142497. The next prime is 407142509. The reversal of 407142504 is 405241704.

407142504 is a `hidden beast` number, since 407 + 1 + 4 + 250 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (407142509) 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, 36009 + ... + 45944.

It is an arithmetic number, because the mean of its divisors is an integer number (18439650).

Almost surely, 2^407142504 is an apocalyptic number.

It is an amenable number.

407142504 is an abundant number, since it is smaller than the sum of its proper divisors (772995096).

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

407142504 is a wasteful number, since it uses less digits than its factorization.

407142504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81991 (or 81981 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 407142504 is about 20177.7725232494. The cubic root of 407142504 is about 741.1659875001.

The spelling of 407142504 in words is "four hundred seven million, one hundred forty-two thousand, five hundred four".