516351360 has 256 divisors, whose sum is σ = 1904348160. Its totient is φ = 116563968.

The previous prime is 516351359. The next prime is 516351377. The reversal of 516351360 is 63153615.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1384134 + ... + 1384506.

It is an arithmetic number, because the mean of its divisors is an integer number (7438860).

Almost surely, 2^516351360 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 516351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952174080).

516351360 is an abundant number, since it is smaller than the sum of its proper divisors (1387996800).

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

516351360 is a wasteful number, since it uses less digits than its factorization.

516351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 516351360 is about 22723.3659478520. The cubic root of 516351360 is about 802.2599431430.

The spelling of 516351360 in words is "five hundred sixteen million, three hundred fifty-one thousand, three hundred sixty".