51400800 has 324 divisors, whose sum is σ = 202604220. Its totient is φ = 12249600.

The previous prime is 51400799. The next prime is 51400813. The reversal of 51400800 is 800415.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 871171 + ... + 871229.

Almost surely, 2^51400800 is an apocalyptic number.

51400800 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 51400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101302110).

51400800 is an abundant number, since it is smaller than the sum of its proper divisors (151203420).

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

51400800 is a wasteful number, since it uses less digits than its factorization.

51400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 51400800 is about 7169.4351241921. The cubic root of 51400800 is about 371.8119062980.

The spelling of 51400800 in words is "fifty-one million, four hundred thousand, eight hundred".