51731400 has 192 divisors, whose sum is σ = 186595200. Its totient is φ = 11612160.

The previous prime is 51731387. The next prime is 51731411. The reversal of 51731400 is 413715.

51731400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51731400² = 5352275491920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 457744 + ... + 457856.

It is an arithmetic number, because the mean of its divisors is an integer number (971850).

Almost surely, 2^51731400 is an apocalyptic number.

51731400 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 51731400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93297600).

51731400 is an abundant number, since it is smaller than the sum of its proper divisors (134863800).

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

51731400 is a wasteful number, since it uses less digits than its factorization.

51731400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 51731400 is about 7192.4543794174. The cubic root of 51731400 is about 372.6073441066.

The spelling of 51731400 in words is "fifty-one million, seven hundred thirty-one thousand, four hundred".