512972460 has 576 divisors, whose sum is σ = 2184053760. Its totient is φ = 97044480.

The previous prime is 512972459. The next prime is 512972513. The reversal of 512972460 is 64279215.

512972460 is a `hidden beast` number, since 5 + 129 + 72 + 460 = 666.

It is a super-3 number, since 3×512972460³ (a number of 27 digits) contains 333 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 191 ways as a sum of consecutive naturals, for example, 7026984 + ... + 7027056.

It is an arithmetic number, because the mean of its divisors is an integer number (3791760).

Almost surely, 2^512972460 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 512972460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092026880).

512972460 is an abundant number, since it is smaller than the sum of its proper divisors (1671081300).

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

512972460 is a wasteful number, since it uses less digits than its factorization.

512972460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 512972460 is about 22648.8953373007. The cubic root of 512972460 is about 800.5061692566.

The spelling of 512972460 in words is "five hundred twelve million, nine hundred seventy-two thousand, four hundred sixty".