54445600 has 144 divisors (see below), whose sum is σ = 151865280. Its totient is φ = 18867200.

The previous prime is 54445597. The next prime is 54445603. The reversal of 54445600 is 654445.

It is an interprime number because it is at equal distance from previous prime (54445597) and next prime (54445603).

It is not an unprimeable number, because it can be changed into a prime (54445603) 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, 202266 + ... + 202534.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 2^54445600 is an apocalyptic number.

54445600 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 54445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75932640).

54445600 is an abundant number, since it is smaller than the sum of its proper divisors (97419680).

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

54445600 is a wasteful number, since it uses less digits than its factorization.

54445600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 54445600 is about 7378.7261773290. The cubic root of 54445600 is about 379.0131364624.

The spelling of 54445600 in words is "fifty-four million, four hundred forty-five thousand, six hundred".