51760400 has 30 divisors (see below), whose sum is σ = 124355322. Its totient is φ = 20704000.

The previous prime is 51760399. The next prime is 51760411. The reversal of 51760400 is 406715.

It can be written as a sum of positive squares in 3 ways, for example, as 150544 + 51609856 = 388^2 + 7184^2 .

It is an unprimeable number.

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, 64301 + ... + 65100.

Almost surely, 2^51760400 is an apocalyptic number.

51760400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51760400 is an abundant number, since it is smaller than the sum of its proper divisors (72594922).

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

51760400 is a wasteful number, since it uses less digits than its factorization.

51760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129419 (or 129408 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 51760400 is about 7194.4700986244. The cubic root of 51760400 is about 372.6769574971.

The spelling of 51760400 in words is "fifty-one million, seven hundred sixty thousand, four hundred".