511059920 has 160 divisors (see below), whose sum is σ = 1409695488. Its totient is φ = 168689664.

The previous prime is 511059911. The next prime is 511059943. The reversal of 511059920 is 29950115.

It is a super-2 number, since 2×511059920² = 522364483660812800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1988432 + ... + 1988688.

Almost surely, 2^511059920 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 511059920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704847744).

511059920 is an abundant number, since it is smaller than the sum of its proper divisors (898635568).

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

511059920 is a wasteful number, since it uses less digits than its factorization.

511059920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 32.

The square root of 511059920 is about 22606.6344244339. The cubic root of 511059920 is about 799.5100750281.

The spelling of 511059920 in words is "five hundred eleven million, fifty-nine thousand, nine hundred twenty".