516038400 has 486 divisors, whose sum is σ = 2023085792. Its totient is φ = 125337600.

The previous prime is 516038389. The next prime is 516038401. The reversal of 516038400 is 4830615.

516038400 is a `hidden beast` number, since 51 + 603 + 8 + 4 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516038401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 16646385 + ... + 16646415.

Almost surely, 2^516038400 is an apocalyptic number.

516038400 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 516038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011542896).

516038400 is an abundant number, since it is smaller than the sum of its proper divisors (1507047392).

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

516038400 is a wasteful number, since it uses less digits than its factorization.

516038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 516038400 is about 22716.4786003465. The cubic root of 516038400 is about 802.0978274250.

The spelling of 516038400 in words is "five hundred sixteen million, thirty-eight thousand, four hundred".