51814400 has 168 divisors, whose sum is σ = 146267424. Its totient is φ = 18022400.

The previous prime is 51814397. The next prime is 51814417. The reversal of 51814400 is 441815.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2252789 + ... + 2252811.

Almost surely, 2^51814400 is an apocalyptic number.

51814400 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 51814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73133712).

51814400 is an abundant number, since it is smaller than the sum of its proper divisors (94453024).

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

51814400 is a wasteful number, since it uses less digits than its factorization.

51814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 51814400 is about 7198.2220026893. Note that the first 3 decimals coincide. The cubic root of 51814400 is about 372.8065131762.

The spelling of 51814400 in words is "fifty-one million, eight hundred fourteen thousand, four hundred".