508149312 has 112 divisors (see below), whose sum is σ = 1553090112. Its totient is φ = 144916480.

The previous prime is 508149311. The next prime is 508149331. The reversal of 508149312 is 213941805.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (508149311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28828 + ... + 42980.

It is an arithmetic number, because the mean of its divisors is an integer number (13866876).

Almost surely, 2^508149312 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 508149312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776545056).

508149312 is an abundant number, since it is smaller than the sum of its proper divisors (1044940800).

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

508149312 is a wasteful number, since it uses less digits than its factorization.

508149312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14196 (or 14186 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 508149312 is about 22542.1674201928. The cubic root of 508149312 is about 797.9893843476.

The spelling of 508149312 in words is "five hundred eight million, one hundred forty-nine thousand, three hundred twelve".