515424672 has 72 divisors (see below), whose sum is σ = 1675136736. Its totient is φ = 147263616.

The previous prime is 515424661. The next prime is 515424673. The reversal of 515424672 is 276424515.

It is a happy number.

515424672 is a `hidden beast` number, since 5 + 1 + 542 + 46 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (515424673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125818 + ... + 129849.

It is an arithmetic number, because the mean of its divisors is an integer number (23265788).

Almost surely, 2^515424672 is an apocalyptic number.

It is an amenable number.

515424672 is an abundant number, since it is smaller than the sum of its proper divisors (1159712064).

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

515424672 is a wasteful number, since it uses less digits than its factorization.

515424672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255690 (or 255679 counting only the distinct ones).

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

The square root of 515424672 is about 22702.9661498228. The cubic root of 515424672 is about 801.7797211382.

The spelling of 515424672 in words is "five hundred fifteen million, four hundred twenty-four thousand, six hundred seventy-two".