51588400 has 30 divisors (see below), whose sum is σ = 123942092. Its totient is φ = 20635200.

The previous prime is 51588391. The next prime is 51588403. The reversal of 51588400 is 488515.

It is a super-2 number, since 2×51588400² = 5322726029120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51588403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 64086 + ... + 64885.

Almost surely, 2^51588400 is an apocalyptic number.

51588400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51588400 is an abundant number, since it is smaller than the sum of its proper divisors (72353692).

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

51588400 is a wasteful number, since it uses less digits than its factorization.

51588400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128989 (or 128978 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 51588400 is about 7182.5065262762. The cubic root of 51588400 is about 372.2636971020.

The spelling of 51588400 in words is "fifty-one million, five hundred eighty-eight thousand, four hundred".