515334960 has 360 divisors, whose sum is σ = 2091647376. Its totient is φ = 117573120.

The previous prime is 515334947. The next prime is 515334961. The reversal of 515334960 is 69433515.

It is a tau number, because it is divible by the number of its divisors (360).

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 (515334961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 952290 + ... + 952830.

Almost surely, 2^515334960 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 515334960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045823688).

515334960 is an abundant number, since it is smaller than the sum of its proper divisors (1576312416).

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

515334960 is a wasteful number, since it uses less digits than its factorization.

515334960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 515334960 is about 22700.9902867694. The cubic root of 515334960 is about 801.7332006410.

It can be divided in two parts, 51 and 5334960, that added together give a triangular number (5335011 = T₃₂₆₆).

The spelling of 515334960 in words is "five hundred fifteen million, three hundred thirty-four thousand, nine hundred sixty".