515904480 has 576 divisors, whose sum is σ = 2254307328. Its totient is φ = 104509440.

The previous prime is 515904469. The next prime is 515904533. The reversal of 515904480 is 84409515.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4062177 + ... + 4062303.

It is an arithmetic number, because the mean of its divisors is an integer number (3913728).

Almost surely, 2^515904480 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 515904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127153664).

515904480 is an abundant number, since it is smaller than the sum of its proper divisors (1738402848).

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

515904480 is a wasteful number, since it uses less digits than its factorization.

515904480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

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

The square root of 515904480 is about 22713.5307691253. The cubic root of 515904480 is about 802.0284357967.

The spelling of 515904480 in words is "five hundred fifteen million, nine hundred four thousand, four hundred eighty".