54784800 has 216 divisors, whose sum is σ = 220985856. Its totient is φ = 12510720.

The previous prime is 54784757. The next prime is 54784801. The reversal of 54784800 is 848745.

It is a super-2 number, since 2×54784800² = 6002748622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54784801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49857 + ... + 50943.

Almost surely, 2^54784800 is an apocalyptic number.

54784800 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 54784800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110492928).

54784800 is an abundant number, since it is smaller than the sum of its proper divisors (166201056).

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

54784800 is a wasteful number, since it uses less digits than its factorization.

54784800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 54784800 is about 7401.6754859964. The cubic root of 54784800 is about 379.7986005720.

The spelling of 54784800 in words is "fifty-four million, seven hundred eighty-four thousand, eight hundred".