51845400 has 96 divisors (see below), whose sum is σ = 178597200. Its totient is φ = 13824000.

The previous prime is 51845389. The next prime is 51845413. The reversal of 51845400 is 454815.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 600 + ... + 10200.

Almost surely, 2^51845400 is an apocalyptic number.

51845400 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 51845400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89298600).

51845400 is an abundant number, since it is smaller than the sum of its proper divisors (126751800).

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

51845400 is a wasteful number, since it uses less digits than its factorization.

51845400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9626 (or 9611 counting only the distinct ones).

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

The square root of 51845400 is about 7200.3749902349. The cubic root of 51845400 is about 372.8808470671.

The spelling of 51845400 in words is "fifty-one million, eight hundred forty-five thousand, four hundred".