507486816 has 96 divisors (see below), whose sum is σ = 1504591200. Its totient is φ = 166371840.

The previous prime is 507486799. The next prime is 507486821. The reversal of 507486816 is 618684705.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 47890 + ... + 57518.

It is an arithmetic number, because the mean of its divisors is an integer number (15672825).

Almost surely, 2^507486816 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 507486816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752295600).

507486816 is an abundant number, since it is smaller than the sum of its proper divisors (997104384).

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

507486816 is a wasteful number, since it uses less digits than its factorization.

507486816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9709 (or 9695 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 507486816 is about 22527.4680334919. The cubic root of 507486816 is about 797.6424425617.

The spelling of 507486816 in words is "five hundred seven million, four hundred eighty-six thousand, eight hundred sixteen".