507464001 has 32 divisors (see below), whose sum is σ = 826467840. Its totient is φ = 305182800.

The previous prime is 507463993. The next prime is 507464047. The reversal of 507464001 is 100464705.

It is not a de Polignac number, because 507464001 - 2³ = 507463993 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 (507464071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32386 + ... + 45428.

It is an arithmetic number, because the mean of its divisors is an integer number (25827120).

Almost surely, 2^507464001 is an apocalyptic number.

It is an amenable number.

507464001 is a deficient number, since it is larger than the sum of its proper divisors (319003839).

507464001 is a wasteful number, since it uses less digits than its factorization.

507464001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13194 (or 13188 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 507464001 is about 22526.9616459921. The cubic root of 507464001 is about 797.6304892233.

The spelling of 507464001 in words is "five hundred seven million, four hundred sixty-four thousand, one".