508965120 has 180 divisors, whose sum is σ = 1821541260. Its totient is φ = 135696384.

The previous prime is 508965089. The next prime is 508965139. The reversal of 508965120 is 21569805.

It is a happy number.

508965120 is a `hidden beast` number, since 50 + 8 + 96 + 512 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 389193984 + 119771136 = 19728^2 + 10944^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×508965120² = 518090986753228800, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101226 + ... + 106134.

Almost surely, 2^508965120 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 508965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910770630).

508965120 is an abundant number, since it is smaller than the sum of its proper divisors (1312576140).

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

508965120 is an equidigital number, since it uses as much as digits as its factorization.

508965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 508965120 is about 22560.2553177042. The cubic root of 508965120 is about 798.4161998740.

The spelling of 508965120 in words is "five hundred eight million, nine hundred sixty-five thousand, one hundred twenty".