51364400 has 30 divisors (see below), whose sum is σ = 123403932. Its totient is φ = 20545600.

The previous prime is 51364393. The next prime is 51364409. The reversal of 51364400 is 446315.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (51364409) 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, 63806 + ... + 64605.

Almost surely, 2^51364400 is an apocalyptic number.

51364400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51364400 is an abundant number, since it is smaller than the sum of its proper divisors (72039532).

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

51364400 is a wasteful number, since it uses less digits than its factorization.

51364400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128429 (or 128418 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 51364400 is about 7166.8961203578. The cubic root of 51364400 is about 371.7241181093.

The spelling of 51364400 in words is "fifty-one million, three hundred sixty-four thousand, four hundred".