45844480 has 144 divisors (see below), whose sum is σ = 124176780. Its totient is φ = 16220160.

The previous prime is 45844459. The next prime is 45844499. The reversal of 45844480 is 8444854.

It can be written as a sum of positive squares in 2 ways, for example, as 44729344 + 1115136 = 6688^2 + 1056^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1239022 + ... + 1239058.

Almost surely, 2^45844480 is an apocalyptic number.

45844480 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 45844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62088390).

45844480 is an abundant number, since it is smaller than the sum of its proper divisors (78332300).

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

45844480 is a wasteful number, since it uses less digits than its factorization.

45844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 37.

The square root of 45844480 is about 6770.8551897083. The cubic root of 45844480 is about 357.9005372702.

The spelling of 45844480 in words is "forty-five million, eight hundred forty-four thousand, four hundred eighty".