506127400 has 48 divisors (see below), whose sum is σ = 1245974940. Its totient is φ = 190540800.

The previous prime is 506127373. The next prime is 506127407. The reversal of 506127400 is 4721605.

It can be written as a sum of positive squares in 6 ways, for example, as 128913316 + 377214084 = 11354^2 + 19422^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (506127407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71031 + ... + 77830.

Almost surely, 2^506127400 is an apocalyptic number.

506127400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506127400 is an abundant number, since it is smaller than the sum of its proper divisors (739847540).

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

506127400 is a wasteful number, since it uses less digits than its factorization.

506127400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148894 (or 148885 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 506127400 is about 22497.2753905890. The cubic root of 506127400 is about 796.9295849319.

The spelling of 506127400 in words is "five hundred six million, one hundred twenty-seven thousand, four hundred".