507074880 has 224 divisors, whose sum is σ = 1777886208. Its totient is φ = 121651200.

The previous prime is 507074873. The next prime is 507074923. The reversal of 507074880 is 88470705.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 511185 + ... + 512175.

It is an arithmetic number, because the mean of its divisors is an integer number (7936992).

Almost surely, 2^507074880 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 507074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888943104).

507074880 is an abundant number, since it is smaller than the sum of its proper divisors (1270811328).

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

507074880 is a wasteful number, since it uses less digits than its factorization.

507074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 507074880 is about 22518.3232057807. The cubic root of 507074880 is about 797.4265639937.

The spelling of 507074880 in words is "five hundred seven million, seventy-four thousand, eight hundred eighty".