515604480 has 128 divisors (see below), whose sum is σ = 1651482000. Its totient is φ = 137363456.

The previous prime is 515604469. The next prime is 515604487. The reversal of 515604480 is 84406515.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515604487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490996 + ... + 492044.

Almost surely, 2^515604480 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 515604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825741000).

515604480 is an abundant number, since it is smaller than the sum of its proper divisors (1135877520).

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

515604480 is an equidigital number, since it uses as much as digits as its factorization.

515604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 515604480 is about 22706.9258157065. The cubic root of 515604480 is about 801.8729450076.

The spelling of 515604480 in words is "five hundred fifteen million, six hundred four thousand, four hundred eighty".