45082440 has 256 divisors, whose sum is σ = 171360000. Its totient is φ = 10513152.

The previous prime is 45082343. The next prime is 45082451. The reversal of 45082440 is 4428054.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2372751 + ... + 2372769.

It is an arithmetic number, because the mean of its divisors is an integer number (669375).

Almost surely, 2^45082440 is an apocalyptic number.

45082440 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 45082440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680000).

45082440 is an abundant number, since it is smaller than the sum of its proper divisors (126277560).

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

45082440 is a wasteful number, since it uses less digits than its factorization.

45082440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

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

The square root of 45082440 is about 6714.3458355971. The cubic root of 45082440 is about 355.9064055602.

The spelling of 45082440 in words is "forty-five million, eighty-two thousand, four hundred forty".