507881472 has 192 divisors, whose sum is σ = 1585584000. Its totient is φ = 144506880.

The previous prime is 507881449. The next prime is 507881489. The reversal of 507881472 is 274188705.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2107272 + ... + 2107512.

It is an arithmetic number, because the mean of its divisors is an integer number (8258250).

Almost surely, 2^507881472 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 507881472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792792000).

507881472 is an abundant number, since it is smaller than the sum of its proper divisors (1077702528).

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

507881472 is an equidigital number, since it uses as much as digits as its factorization.

507881472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 507881472 is about 22536.2257709671. The cubic root of 507881472 is about 797.8491558525.

The spelling of 507881472 in words is "five hundred seven million, eight hundred eighty-one thousand, four hundred seventy-two".