54066400 has 72 divisors (see below), whose sum is σ = 138975480. Its totient is φ = 20482560.

The previous prime is 54066391. The next prime is 54066401. The reversal of 54066400 is 466045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54066401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13422 + ... + 16978.

It is an arithmetic number, because the mean of its divisors is an integer number (1930215).

Almost surely, 2^54066400 is an apocalyptic number.

54066400 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 54066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69487740).

54066400 is an abundant number, since it is smaller than the sum of its proper divisors (84909080).

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

54066400 is a wasteful number, since it uses less digits than its factorization.

54066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 54066400 is about 7352.9857881000. The cubic root of 54066400 is about 378.1311751376.

The spelling of 54066400 in words is "fifty-four million, sixty-six thousand, four hundred".