54054400 has 120 divisors (see below), whose sum is σ = 138522384. Its totient is φ = 20889600.

The previous prime is 54054389. The next prime is 54054419. The reversal of 54054400 is 445045.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 524749 + ... + 524851.

Almost surely, 2^54054400 is an apocalyptic number.

54054400 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 54054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69261192).

54054400 is an abundant number, since it is smaller than the sum of its proper divisors (84467984).

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

54054400 is a wasteful number, since it uses less digits than its factorization.

54054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 54054400 is about 7352.1697477683. The cubic root of 54054400 is about 378.1031977503.

Adding to 54054400 its reverse (445045), we get a palindrome (54499445).

The spelling of 54054400 in words is "fifty-four million, fifty-four thousand, four hundred".