54282240 has 288 divisors, whose sum is σ = 204422400. Its totient is φ = 13271040.

The previous prime is 54282233. The next prime is 54282247. The reversal of 54282240 is 4228245.

It is a happy number.

54282240 is a `hidden beast` number, since 542 + 82 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (54282233) and next prime (54282247).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (54282247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1751025 + ... + 1751055.

It is an arithmetic number, because the mean of its divisors is an integer number (709800).

Almost surely, 2^54282240 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 54282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102211200).

54282240 is an abundant number, since it is smaller than the sum of its proper divisors (150140160).

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

54282240 is a wasteful number, since it uses less digits than its factorization.

54282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 54282240 is about 7367.6482000704. The cubic root of 54282240 is about 378.6336897377.

The spelling of 54282240 in words is "fifty-four million, two hundred eighty-two thousand, two hundred forty".