503921952 has 96 divisors (see below), whose sum is σ = 1547179200. Its totient is φ = 159128064.

The previous prime is 503921867. The next prime is 503921953. The reversal of 503921952 is 259129305.

It is a happy number.

503921952 is a `hidden beast` number, since 503 + 92 + 19 + 52 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (503921953) 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, 1068 + ... + 31764.

It is an arithmetic number, because the mean of its divisors is an integer number (16116450).

Almost surely, 2^503921952 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 503921952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773589600).

503921952 is an abundant number, since it is smaller than the sum of its proper divisors (1043257248).

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

503921952 is a wasteful number, since it uses less digits than its factorization.

503921952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30735 (or 30721 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 503921952 is about 22448.2059862253. The cubic root of 503921952 is about 795.7703604299.

The spelling of 503921952 in words is "five hundred three million, nine hundred twenty-one thousand, nine hundred fifty-two".