51244800 has 216 divisors, whose sum is σ = 180207216. Its totient is φ = 12779520.

The previous prime is 51244757. The next prime is 51244801. The reversal of 51244800 is 844215.

51244800 = T₂₆₃ + T₂₆₄ + ... + T₆₈₇.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51244801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326322 + ... + 326478.

Almost surely, 2^51244800 is an apocalyptic number.

51244800 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 51244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90103608).

51244800 is an abundant number, since it is smaller than the sum of its proper divisors (128962416).

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

51244800 is a wasteful number, since it uses less digits than its factorization.

51244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 51244800 is about 7158.5473386714. The cubic root of 51244800 is about 371.4353788552.

The spelling of 51244800 in words is "fifty-one million, two hundred forty-four thousand, eight hundred".