507575040 has 288 divisors, whose sum is σ = 1935553536. Its totient is φ = 110837760.

The previous prime is 507574993. The next prime is 507575093. The reversal of 507575040 is 40575705.

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 a junction number, because it is equal to n+sod(n) for n = 507574992 and 507575010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617830 + ... + 618650.

It is an arithmetic number, because the mean of its divisors is an integer number (6720672).

Almost surely, 2^507575040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967776768).

507575040 is an abundant number, since it is smaller than the sum of its proper divisors (1427978496).

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

507575040 is a wasteful number, since it uses less digits than its factorization.

507575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 33.

The square root of 507575040 is about 22529.4260912257. The cubic root of 507575040 is about 797.6886619098.

The spelling of 507575040 in words is "five hundred seven million, five hundred seventy-five thousand, forty".