517408320 has 224 divisors, whose sum is σ = 1930481280. Its totient is φ = 115752960.

The previous prime is 517408301. The next prime is 517408357. The reversal of 517408320 is 23804715.

It is a super-2 number, since 2×517408320² = 535422739210444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135396 + ... + 139164.

It is an arithmetic number, because the mean of its divisors is an integer number (8618220).

Almost surely, 2^517408320 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 517408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965240640).

517408320 is an abundant number, since it is smaller than the sum of its proper divisors (1413072960).

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

517408320 is a wasteful number, since it uses less digits than its factorization.

517408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 517408320 is about 22746.6111761730. The cubic root of 517408320 is about 802.8069729430.

The spelling of 517408320 in words is "five hundred seventeen million, four hundred eight thousand, three hundred twenty".