45844960 has 48 divisors (see below), whose sum is σ = 123784416. Its totient is φ = 15717888.

The previous prime is 45844933. The next prime is 45844963. The reversal of 45844960 is 6944854.

45844960 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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45844963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19347 + ... + 21586.

It is an arithmetic number, because the mean of its divisors is an integer number (2578842).

Almost surely, 2^45844960 is an apocalyptic number.

45844960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45844960 is an abundant number, since it is smaller than the sum of its proper divisors (77939456).

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

45844960 is a wasteful number, since it uses less digits than its factorization.

45844960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40955 (or 40947 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 45844960 is about 6770.8906356550. The cubic root of 45844960 is about 357.9017863603.

The spelling of 45844960 in words is "forty-five million, eight hundred forty-four thousand, nine hundred sixty".