515796480 has 240 divisors, whose sum is σ = 1820579904. Its totient is φ = 134922240.

The previous prime is 515796461. The next prime is 515796487. The reversal of 515796480 is 84697515.

515796480 is a `hidden beast` number, since 515 + 7 + 96 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515796487) 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, 1405257 + ... + 1405623.

Almost surely, 2^515796480 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 515796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910289952).

515796480 is an abundant number, since it is smaller than the sum of its proper divisors (1304783424).

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

515796480 is a wasteful number, since it uses less digits than its factorization.

515796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 515796480 is about 22711.1532071799. The cubic root of 515796480 is about 801.9724660585.

The spelling of 515796480 in words is "five hundred fifteen million, seven hundred ninety-six thousand, four hundred eighty".