505131400 has 48 divisors (see below), whose sum is σ = 1206189540. Its totient is φ = 196588800.

The previous prime is 505131379. The next prime is 505131409. The reversal of 505131400 is 4131505.

It can be written as a sum of positive squares in 6 ways, for example, as 129004164 + 376127236 = 11358^2 + 19394^2 .

It is not an unprimeable number, because it can be changed into a prime (505131409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26731 + ... + 41530.

Almost surely, 2^505131400 is an apocalyptic number.

505131400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505131400 is an abundant number, since it is smaller than the sum of its proper divisors (701058140).

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

505131400 is a wasteful number, since it uses less digits than its factorization.

505131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68314 (or 68305 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 505131400 is about 22475.1284757173. The cubic root of 505131400 is about 796.4064866629.

Adding to 505131400 its reverse (4131505), we get a palindrome (509262905).

The spelling of 505131400 in words is "five hundred five million, one hundred thirty-one thousand, four hundred".