51445800 has 192 divisors, whose sum is σ = 202665600. Its totient is φ = 11750400.

The previous prime is 51445789. The next prime is 51445813. The reversal of 51445800 is 854415.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37120 + ... + 38480.

It is an arithmetic number, because the mean of its divisors is an integer number (1055550).

Almost surely, 2^51445800 is an apocalyptic number.

51445800 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 51445800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101332800).

51445800 is an abundant number, since it is smaller than the sum of its proper divisors (151219800).

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

51445800 is a wasteful number, since it uses less digits than its factorization.

51445800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 51445800 is about 7172.5727601747. The cubic root of 51445800 is about 371.9203783807.

The spelling of 51445800 in words is "fifty-one million, four hundred forty-five thousand, eight hundred".