54825400 has 48 divisors (see below), whose sum is σ = 145682640. Its totient is φ = 18796800.

The previous prime is 54825389. The next prime is 54825413. The reversal of 54825400 is 452845.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 11 ways as a sum of consecutive naturals, for example, 18181 + ... + 20980.

It is an arithmetic number, because the mean of its divisors is an integer number (3035055).

Almost surely, 2^54825400 is an apocalyptic number.

54825400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54825400 is an abundant number, since it is smaller than the sum of its proper divisors (90857240).

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

54825400 is a wasteful number, since it uses less digits than its factorization.

54825400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39184 (or 39175 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 54825400 is about 7404.4176003248. The cubic root of 54825400 is about 379.8923979735.

It can be divided in two parts, 54825 and 400, that added together give a square (55225 = 235²).

The spelling of 54825400 in words is "fifty-four million, eight hundred twenty-five thousand, four hundred".