506318400 has 252 divisors, whose sum is σ = 2057066752. Its totient is φ = 115706880.

The previous prime is 506318387. The next prime is 506318447. The reversal of 506318400 is 4813605.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98289 + ... + 103311.

Almost surely, 2^506318400 is an apocalyptic number.

506318400 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 506318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028533376).

506318400 is an abundant number, since it is smaller than the sum of its proper divisors (1550748352).

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

506318400 is a wasteful number, since it uses less digits than its factorization.

506318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058 (or 5040 counting only the distinct ones).

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

The square root of 506318400 is about 22501.5199486612. The cubic root of 506318400 is about 797.0298195155.

The spelling of 506318400 in words is "five hundred six million, three hundred eighteen thousand, four hundred".