516222720 has 360 divisors, whose sum is σ = 1994420736. Its totient is φ = 126738432.

The previous prime is 516222701. The next prime is 516222769. The reversal of 516222720 is 27222615.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347649 + ... + 1348031.

Almost surely, 2^516222720 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 516222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997210368).

516222720 is an abundant number, since it is smaller than the sum of its proper divisors (1478198016).

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

516222720 is a wasteful number, since it uses less digits than its factorization.

516222720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 516222720 is about 22720.5352049638. The cubic root of 516222720 is about 802.1933145520.

The spelling of 516222720 in words is "five hundred sixteen million, two hundred twenty-two thousand, seven hundred twenty".