516263220 has 384 divisors, whose sum is σ = 1884556800. Its totient is φ = 117573120.

The previous prime is 516263201. The next prime is 516263287. The reversal of 516263220 is 22362615.

516263220 is a `hidden beast` number, since 5 + 1 + 6 + 2 + 632 + 20 = 666.

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 127 ways as a sum of consecutive naturals, for example, 13953042 + ... + 13953078.

It is an arithmetic number, because the mean of its divisors is an integer number (4907700).

Almost surely, 2^516263220 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 516263220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942278400).

516263220 is an abundant number, since it is smaller than the sum of its proper divisors (1368293580).

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

516263220 is a wasteful number, since it uses less digits than its factorization.

516263220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 516263220 is about 22721.4264516997. The cubic root of 516263220 is about 802.2142925643.

The spelling of 516263220 in words is "five hundred sixteen million, two hundred sixty-three thousand, two hundred twenty".