508465152 has 156 divisors (see below), whose sum is σ = 1583189244. Its totient is φ = 156303360.

The previous prime is 508465141. The next prime is 508465229. The reversal of 508465152 is 251564805.

It can be written as a sum of positive squares in 2 ways, for example, as 196448256 + 312016896 = 14016^2 + 17664^2 .

It is a tau number, because it is divible by the number of its divisors (156).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478702 + ... + 479762.

It is an arithmetic number, because the mean of its divisors is an integer number (10148649).

Almost surely, 2^508465152 is an apocalyptic number.

508465152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791594622).

508465152 is an abundant number, since it is smaller than the sum of its proper divisors (1074724092).

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

508465152 is a wasteful number, since it uses less digits than its factorization.

508465152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 508465152 is about 22549.1718694945. The cubic root of 508465152 is about 798.1546800992.

The spelling of 508465152 in words is "five hundred eight million, four hundred sixty-five thousand, one hundred fifty-two".