54554400 has 108 divisors (see below), whose sum is σ = 192397842. Its totient is φ = 14545920.

The previous prime is 54554399. The next prime is 54554407. The reversal of 54554400 is 445545.

It can be written as a sum of positive squares in 3 ways, for example, as 21790224 + 32764176 = 4668^2 + 5724^2 .

It is not an unprimeable number, because it can be changed into a prime (54554407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3412 + ... + 10988.

Almost surely, 2^54554400 is an apocalyptic number.

54554400 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 54554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96198921).

54554400 is an abundant number, since it is smaller than the sum of its proper divisors (137843442).

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

54554400 is a wasteful number, since it uses less digits than its factorization.

54554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7603 (or 7587 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 54554400 is about 7386.0950440676. The cubic root of 54554400 is about 379.2654322809.

Adding to 54554400 its reverse (445545), we get a palindrome (54999945).

It can be divided in two parts, 545 and 54400, that added together give a palindrome (54945).

The spelling of 54554400 in words is "fifty-four million, five hundred fifty-four thousand, four hundred".