51904800 has 252 divisors, whose sum is σ = 192116610. Its totient is φ = 13685760.

The previous prime is 51904799. The next prime is 51904807. The reversal of 51904800 is 840915.

It can be written as a sum of positive squares in 3 ways, for example, as 30338064 + 21566736 = 5508^2 + 4644^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51904807) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 583156 + ... + 583244.

Almost surely, 2^51904800 is an apocalyptic number.

51904800 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 51904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96058305).

51904800 is an abundant number, since it is smaller than the sum of its proper divisors (140211810).

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

51904800 is an equidigital number, since it uses as much as digits as its factorization.

51904800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 99 counting only the distinct ones).

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

The square root of 51904800 is about 7204.4985946282. The cubic root of 51904800 is about 373.0231976507.

The spelling of 51904800 in words is "fifty-one million, nine hundred four thousand, eight hundred".