516409272 has 96 divisors (see below), whose sum is σ = 1489784400. Its totient is φ = 161037312.

The previous prime is 516409249. The next prime is 516409297. The reversal of 516409272 is 272904615.

516409272 is a `hidden beast` number, since 5 + 1 + 640 + 9 + 2 + 7 + 2 = 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 23 ways as a sum of consecutive naturals, for example, 217918 + ... + 220274.

Almost surely, 2^516409272 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 516409272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744892200).

516409272 is an abundant number, since it is smaller than the sum of its proper divisors (973375128).

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

516409272 is a wasteful number, since it uses less digits than its factorization.

516409272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2558 counting only the distinct ones).

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

The square root of 516409272 is about 22724.6401951714. The cubic root of 516409272 is about 802.2899348273.

The spelling of 516409272 in words is "five hundred sixteen million, four hundred nine thousand, two hundred seventy-two".