45446440 has 128 divisors (see below), whose sum is σ = 120022560. Its totient is φ = 15335424.

The previous prime is 45446437. The next prime is 45446441. The reversal of 45446440 is 4464454.

45446440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 5731236 + 39715204 = 2394^2 + 6302^2 .

It is not an unprimeable number, because it can be changed into a prime (45446441) 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 31 ways as a sum of consecutive naturals, for example, 468472 + ... + 468568.

Almost surely, 2^45446440 is an apocalyptic number.

45446440 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 45446440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60011280).

45446440 is an abundant number, since it is smaller than the sum of its proper divisors (74576120).

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

45446440 is a wasteful number, since it uses less digits than its factorization.

45446440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

The square root of 45446440 is about 6741.3974812349. The cubic root of 45446440 is about 356.8617133695.

The spelling of 45446440 in words is "forty-five million, four hundred forty-six thousand, four hundred forty".