514564272 has 80 divisors (see below), whose sum is σ = 1508474880. Its totient is φ = 167865408.

The previous prime is 514564261. The next prime is 514564301. The reversal of 514564272 is 272465415.

It is a happy number.

514564272 is a `hidden beast` number, since 5 + 1 + 4 + 5 + 642 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7633 + ... + 32975.

It is an arithmetic number, because the mean of its divisors is an integer number (18855936).

Almost surely, 2^514564272 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 514564272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754237440).

514564272 is an abundant number, since it is smaller than the sum of its proper divisors (993910608).

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

514564272 is a wasteful number, since it uses less digits than its factorization.

514564272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25407 (or 25395 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 514564272 is about 22684.0091694568. The cubic root of 514564272 is about 801.3333348714. Note that the first 5 decimals are identical.

The spelling of 514564272 in words is "five hundred fourteen million, five hundred sixty-four thousand, two hundred seventy-two".