51674400 has 108 divisors (see below), whose sum is σ = 182242242. Its totient is φ = 13777920.

The previous prime is 51674369. The next prime is 51674401. The reversal of 51674400 is 447615.

It can be written as a sum of positive squares in 3 ways, for example, as 47941776 + 3732624 = 6924^2 + 1932^2 .

It is not an unprimeable number, because it can be changed into a prime (51674401) 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 17 ways as a sum of consecutive naturals, for example, 3612 + ... + 10788.

Almost surely, 2^51674400 is an apocalyptic number.

51674400 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 51674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91121121).

51674400 is an abundant number, since it is smaller than the sum of its proper divisors (130567842).

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

51674400 is a wasteful number, since it uses less digits than its factorization.

51674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7203 (or 7187 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 51674400 is about 7188.4908012739. The cubic root of 51674400 is about 372.4704419289.

The spelling of 51674400 in words is "fifty-one million, six hundred seventy-four thousand, four hundred".