512935920 has 480 divisors, whose sum is σ = 2104627200. Its totient is φ = 111767040.

The previous prime is 512935919. The next prime is 512935981. The reversal of 512935920 is 29539215.

It is a happy number.

512935920 is a `hidden beast` number, since 512 + 93 + 59 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7655727 + ... + 7655793.

It is an arithmetic number, because the mean of its divisors is an integer number (4384640).

Almost surely, 2^512935920 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 512935920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052313600).

512935920 is an abundant number, since it is smaller than the sum of its proper divisors (1591691280).

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

512935920 is a wasteful number, since it uses less digits than its factorization.

512935920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

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

The square root of 512935920 is about 22648.0886610769. The cubic root of 512935920 is about 800.4871616151.

The spelling of 512935920 in words is "five hundred twelve million, nine hundred thirty-five thousand, nine hundred twenty".