54258288 has 240 divisors, whose sum is σ = 183202560. Its totient is φ = 13719552.

The previous prime is 54258287. The next prime is 54258307. The reversal of 54258288 is 88285245.

It is a super-3 number, since 3×54258288³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54258287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919603 + ... + 919661.

It is an arithmetic number, because the mean of its divisors is an integer number (763344).

Almost surely, 2^54258288 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 54258288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91601280).

54258288 is an abundant number, since it is smaller than the sum of its proper divisors (128944272).

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

54258288 is a wasteful number, since it uses less digits than its factorization.

54258288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its digits is 204800, while the sum is 42.

The square root of 54258288 is about 7366.0225359416. The cubic root of 54258288 is about 378.5779909286.

The spelling of 54258288 in words is "fifty-four million, two hundred fifty-eight thousand, two hundred eighty-eight".