509856400 has 45 divisors (see below), whose sum is σ = 1226015931. Its totient is φ = 203761920.

The previous prime is 509856377. The next prime is 509856409. The reversal of 509856400 is 4658905.

The square root of 509856400 is 22580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 177742224 + 332114176 = 13332^2 + 18224^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 509856400.

It is not an unprimeable number, because it can be changed into a prime (509856409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 451036 + ... + 452164.

Almost surely, 2^509856400 is an apocalyptic number.

509856400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

509856400 is the 22580-th square number.

It is an amenable number.

509856400 is an abundant number, since it is smaller than the sum of its proper divisors (716159531).

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

509856400 is an equidigital number, since it uses as much as digits as its factorization.

509856400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The cubic root of 509856400 is about 798.8819799334.

The spelling of 509856400 in words is "five hundred nine million, eight hundred fifty-six thousand, four hundred".