507434640 has 80 divisors (see below), whose sum is σ = 1575214656. Its totient is φ = 135129600.

The previous prime is 507434621. The next prime is 507434659. The reversal of 507434640 is 46434705.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (507434621) and next prime (507434659).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330675 + ... + 332205.

Almost surely, 2^507434640 is an apocalyptic number.

It is an amenable number.

507434640 is an abundant number, since it is smaller than the sum of its proper divisors (1067780016).

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

507434640 is a wasteful number, since it uses less digits than its factorization.

507434640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 507434640 is about 22526.3099508109. The cubic root of 507434640 is about 797.6151057475.

The spelling of 507434640 in words is "five hundred seven million, four hundred thirty-four thousand, six hundred forty".