508969120 has 96 divisors (see below), whose sum is σ = 1388995776. Its totient is φ = 174182400.

The previous prime is 508969099. The next prime is 508969133. The reversal of 508969120 is 21969805.

It is a super-2 number, since 2×508969120² = 518099130227148800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21415 + ... + 38425.

It is an arithmetic number, because the mean of its divisors is an integer number (14468706).

Almost surely, 2^508969120 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 508969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694497888).

508969120 is an abundant number, since it is smaller than the sum of its proper divisors (880026656).

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

508969120 is a wasteful number, since it uses less digits than its factorization.

508969120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17054 (or 17046 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 508969120 is about 22560.3439690090. The cubic root of 508969120 is about 798.4182914753.

The spelling of 508969120 in words is "five hundred eight million, nine hundred sixty-nine thousand, one hundred twenty".