54295800 has 96 divisors (see below), whose sum is σ = 181290480. Its totient is φ = 13363200.

The previous prime is 54295793. The next prime is 54295811. The reversal of 54295800 is 859245.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4320 + ... + 11280.

Almost surely, 2^54295800 is an apocalyptic number.

54295800 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 54295800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90645240).

54295800 is an abundant number, since it is smaller than the sum of its proper divisors (126994680).

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

54295800 is a wasteful number, since it uses less digits than its factorization.

54295800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6993 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 54295800 is about 7368.5683819857. The cubic root of 54295800 is about 378.6652153673.

The spelling of 54295800 in words is "fifty-four million, two hundred ninety-five thousand, eight hundred".