51590400 has 108 divisors (see below), whose sum is σ = 170322432. Its totient is φ = 13752320.

The previous prime is 51590387. The next prime is 51590401. The reversal of 51590400 is 409515.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51590401) 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, 17857 + ... + 20543.

Almost surely, 2^51590400 is an apocalyptic number.

51590400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85161216).

51590400 is an abundant number, since it is smaller than the sum of its proper divisors (118732032).

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

51590400 is a wasteful number, since it uses less digits than its factorization.

51590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 51590400 is about 7182.6457520888. The cubic root of 51590400 is about 372.2685077298.

Adding to 51590400 its reverse (409515), we get a palindrome (51999915).

The spelling of 51590400 in words is "fifty-one million, five hundred ninety thousand, four hundred".