512788320 has 432 divisors, whose sum is σ = 2012970960. Its totient is φ = 123171840.

The previous prime is 512788301. The next prime is 512788333. The reversal of 512788320 is 23887215.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×512788320² = 525903722256844800, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 4704426 + ... + 4704534.

It is an arithmetic number, because the mean of its divisors is an integer number (4659655).

Almost surely, 2^512788320 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 512788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006485480).

512788320 is an abundant number, since it is smaller than the sum of its proper divisors (1500182640).

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

512788320 is a wasteful number, since it uses less digits than its factorization.

512788320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 512788320 is about 22644.8298735053. The cubic root of 512788320 is about 800.4103727901.

The spelling of 512788320 in words is "five hundred twelve million, seven hundred eighty-eight thousand, three hundred twenty".