512417664 has 160 divisors (see below), whose sum is σ = 1663948440. Its totient is φ = 155243520.

The previous prime is 512417603. The next prime is 512417671. The reversal of 512417664 is 466714215.

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 19 ways as a sum of consecutive naturals, for example, 111802 + ... + 116294.

Almost surely, 2^512417664 is an apocalyptic number.

512417664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512417664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831974220).

512417664 is an abundant number, since it is smaller than the sum of its proper divisors (1151530776).

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

512417664 is a wasteful number, since it uses less digits than its factorization.

512417664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4509 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 512417664 is about 22636.6442742735. The cubic root of 512417664 is about 800.2174742092.

The spelling of 512417664 in words is "five hundred twelve million, four hundred seventeen thousand, six hundred sixty-four".