508011948 has 72 divisors (see below), whose sum is σ = 1362816000. Its totient is φ = 159214176.

The previous prime is 508011929. The next prime is 508012009. The reversal of 508011948 is 849110805.

It is a super-2 number, since 2×508011948² = 516152278621509408, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 43653 + ... + 54051.

It is an arithmetic number, because the mean of its divisors is an integer number (18928000).

Almost surely, 2^508011948 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 508011948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681408000).

508011948 is an abundant number, since it is smaller than the sum of its proper divisors (854804052).

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

508011948 is a wasteful number, since it uses less digits than its factorization.

508011948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10491 (or 10486 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 508011948 is about 22539.1203910002. The cubic root of 508011948 is about 797.9174731397.

The spelling of 508011948 in words is "five hundred eight million, eleven thousand, nine hundred forty-eight".