507140640 has 72 divisors (see below), whose sum is σ = 1730622348. Its totient is φ = 135237120.

The previous prime is 507140633. The next prime is 507140659. The reversal of 507140640 is 46041705.

507140640 is a `hidden beast` number, since 5 + 0 + 7 + 14 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 415670544 + 91470096 = 20388^2 + 9564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174651 + ... + 177530.

Almost surely, 2^507140640 is an apocalyptic number.

It is an amenable number.

507140640 is an abundant number, since it is smaller than the sum of its proper divisors (1223481708).

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

507140640 is a wasteful number, since it uses less digits than its factorization.

507140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352202 (or 352191 counting only the distinct ones).

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

The square root of 507140640 is about 22519.7833026874. The cubic root of 507140640 is about 797.4610339219.

The spelling of 507140640 in words is "five hundred seven million, one hundred forty thousand, six hundred forty".