508823952 has 160 divisors (see below), whose sum is σ = 1703224320. Its totient is φ = 127111680.

The previous prime is 508823951. The next prime is 508823989. The reversal of 508823952 is 259328805.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (508823951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79927 + ... + 86057.

It is an arithmetic number, because the mean of its divisors is an integer number (10645152).

Almost surely, 2^508823952 is an apocalyptic number.

508823952 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 508823952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851612160).

508823952 is an abundant number, since it is smaller than the sum of its proper divisors (1194400368).

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

508823952 is a wasteful number, since it uses less digits than its factorization.

508823952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181 (or 6175 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 508823952 is about 22557.1264127326. The cubic root of 508823952 is about 798.3423760592.

The spelling of 508823952 in words is "five hundred eight million, eight hundred twenty-three thousand, nine hundred fifty-two".