54750400 has 84 divisors (see below), whose sum is σ = 141889480. Its totient is φ = 20736000.

The previous prime is 54750391. The next prime is 54750413. The reversal of 54750400 is 405745.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 29500 + ... + 31300.

Almost surely, 2^54750400 is an apocalyptic number.

54750400 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 54750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70944740).

54750400 is an abundant number, since it is smaller than the sum of its proper divisors (87139080).

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

54750400 is a wasteful number, since it uses less digits than its factorization.

54750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 54750400 is about 7399.3513229201. The cubic root of 54750400 is about 379.7190906387.

The spelling of 54750400 in words is "fifty-four million, seven hundred fifty thousand, four hundred".