515616480 has 144 divisors (see below), whose sum is σ = 1768922064. Its totient is φ = 136765440.

The previous prime is 515616473. The next prime is 515616487. The reversal of 515616480 is 84616515.

515616480 is a `hidden beast` number, since 5 + 1 + 5 + 6 + 1 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (515616473) and next prime (515616487).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515616487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302992 + ... + 304688.

It is an arithmetic number, because the mean of its divisors is an integer number (12284181).

Almost surely, 2^515616480 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 515616480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884461032).

515616480 is an abundant number, since it is smaller than the sum of its proper divisors (1253305584).

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

515616480 is a wasteful number, since it uses less digits than its factorization.

515616480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 515616480 is about 22707.1900507306. The cubic root of 515616480 is about 801.8791657971.

The spelling of 515616480 in words is "five hundred fifteen million, six hundred sixteen thousand, four hundred eighty".