54566400 has 360 divisors, whose sum is σ = 216916920. Its totient is φ = 12042240.

The previous prime is 54566399. The next prime is 54566401. The reversal of 54566400 is 466545.

It is an interprime number because it is at equal distance from previous prime (54566399) and next prime (54566401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54566401) 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, 1881586 + ... + 1881614.

It is an arithmetic number, because the mean of its divisors is an integer number (602547).

Almost surely, 2^54566400 is an apocalyptic number.

54566400 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 54566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108458460).

54566400 is an abundant number, since it is smaller than the sum of its proper divisors (162350520).

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

54566400 is a wasteful number, since it uses less digits than its factorization.

54566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 54566400 is about 7386.9073366328. The cubic root of 54566400 is about 379.2932384800.

The spelling of 54566400 in words is "fifty-four million, five hundred sixty-six thousand, four hundred".