51408900 has 81 divisors (see below), whose sum is σ = 161815381. Its totient is φ = 13651680.

The previous prime is 51408893. The next prime is 51408919. The reversal of 51408900 is 980415.

The square root of 51408900 is 7170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18507204 + 32901696 = 4302^2 + 5736^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 214981 + ... + 215219.

Almost surely, 2^51408900 is an apocalyptic number.

51408900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51408900 is the 7170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51408900

51408900 is an abundant number, since it is smaller than the sum of its proper divisors (110406481).

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

51408900 is a wasteful number, since it uses less digits than its factorization.

51408900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The cubic root of 51408900 is about 371.8314359438.

The spelling of 51408900 in words is "fifty-one million, four hundred eight thousand, nine hundred".