54144400 has 60 divisors (see below), whose sum is σ = 130880512. Its totient is φ = 21525120.

The previous prime is 54144397. The next prime is 54144401. The reversal of 54144400 is 444145.

It is not an unprimeable number, because it can be changed into a prime (54144401) 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, 88897 + ... + 89503.

Almost surely, 2^54144400 is an apocalyptic number.

54144400 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 54144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65440256).

54144400 is an abundant number, since it is smaller than the sum of its proper divisors (76736112).

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

54144400 is a wasteful number, since it uses less digits than its factorization.

54144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 54144400 is about 7358.2878443290. The cubic root of 54144400 is about 378.3129273259.

Adding to 54144400 its reverse (444145), we get a palindrome (54588545).

The spelling of 54144400 in words is "fifty-four million, one hundred forty-four thousand, four hundred".