54468288 has 280 divisors, whose sum is σ = 196697600. Its totient is φ = 14556672.

The previous prime is 54468287. The next prime is 54468311. The reversal of 54468288 is 88286445.

It is not an unprimeable number, because it can be changed into a prime (54468287) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 689433 + ... + 689511.

Almost surely, 2^54468288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54468288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98348800).

54468288 is an abundant number, since it is smaller than the sum of its proper divisors (142229312).

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

54468288 is a wasteful number, since it uses less digits than its factorization.

54468288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 54468288 is about 7380.2634099333. The cubic root of 54468288 is about 379.0657752791.

It can be divided in two parts, 54468 and 288, that added together give a square (54756 = 234²).

The spelling of 54468288 in words is "fifty-four million, four hundred sixty-eight thousand, two hundred eighty-eight".