516072400 has 120 divisors (see below), whose sum is σ = 1358584920. Its totient is φ = 187514880.

The previous prime is 516072379. The next prime is 516072419. The reversal of 516072400 is 4270615.

It can be written as a sum of positive squares in 12 ways, for example, as 1871424 + 514200976 = 1368^2 + 22676^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195892 + ... + 198508.

It is an arithmetic number, because the mean of its divisors is an integer number (11321541).

Almost surely, 2^516072400 is an apocalyptic number.

516072400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679292460).

516072400 is an abundant number, since it is smaller than the sum of its proper divisors (842512520).

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

516072400 is a wasteful number, since it uses less digits than its factorization.

516072400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 516072400 is about 22717.2269434454. The cubic root of 516072400 is about 802.1154428629.

The spelling of 516072400 in words is "five hundred sixteen million, seventy-two thousand, four hundred".