54308800 has 168 divisors, whose sum is σ = 164913056. Its totient is φ = 17141760.

The previous prime is 54308777. The next prime is 54308803. The reversal of 54308800 is 880345.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54308803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145414 + ... + 145786.

Almost surely, 2^54308800 is an apocalyptic number.

54308800 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 54308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82456528).

54308800 is an abundant number, since it is smaller than the sum of its proper divisors (110604256).

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

54308800 is a wasteful number, since it uses less digits than its factorization.

54308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 54308800 is about 7369.4504544097. The cubic root of 54308800 is about 378.6954341256.

The spelling of 54308800 in words is "fifty-four million, three hundred eight thousand, eight hundred".