506299400 has 48 divisors (see below), whose sum is σ = 1217751300. Its totient is φ = 195534080.

The previous prime is 506299399. The next prime is 506299427. The reversal of 506299400 is 4992605.

It can be written as a sum of positive squares in 6 ways, for example, as 320195236 + 186104164 = 17894^2 + 13642^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37847 + ... + 49446.

Almost surely, 2^506299400 is an apocalyptic number.

506299400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506299400 is an abundant number, since it is smaller than the sum of its proper divisors (711451900).

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

506299400 is a wasteful number, since it uses less digits than its factorization.

506299400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87338 (or 87329 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 506299400 is about 22501.0977509987. The cubic root of 506299400 is about 797.0198496652.

The spelling of 506299400 in words is "five hundred six million, two hundred ninety-nine thousand, four hundred".