45282240 has 140 divisors (see below), whose sum is σ = 161169096. Its totient is φ = 12068352.

The previous prime is 45282233. The next prime is 45282257. The reversal of 45282240 is 4228254.

It is a happy number.

45282240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25047 + ... + 26793.

Almost surely, 2^45282240 is an apocalyptic number.

45282240 is a gapful number since it is divisible by the number (40) 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 45282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80584548).

45282240 is an abundant number, since it is smaller than the sum of its proper divisors (115886856).

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

45282240 is a wasteful number, since it uses less digits than its factorization.

45282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1757 counting only the distinct ones).

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

The square root of 45282240 is about 6729.2079771694. The cubic root of 45282240 is about 356.4314089926.

The spelling of 45282240 in words is "forty-five million, two hundred eighty-two thousand, two hundred forty".