54542400 has 168 divisors, whose sum is σ = 195401184. Its totient is φ = 13209600.

The previous prime is 54542377. The next prime is 54542471. The reversal of 54542400 is 424545.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52284 + ... + 53316.

Almost surely, 2^54542400 is an apocalyptic number.

54542400 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 54542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97700592).

54542400 is an abundant number, since it is smaller than the sum of its proper divisors (140858784).

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

54542400 is a wasteful number, since it uses less digits than its factorization.

54542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 54542400 is about 7385.2826621599. The cubic root of 54542400 is about 379.2376220039.

Adding to 54542400 its reverse (424545), we get a palindrome (54966945).

The spelling of 54542400 in words is "fifty-four million, five hundred forty-two thousand, four hundred".