45644000 has 48 divisors (see below), whose sum is σ = 112157136. Its totient is φ = 18256000.

The previous prime is 45643987. The next prime is 45644009. The reversal of 45644000 is 44654.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45644009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1706 + ... + 9705.

It is an arithmetic number, because the mean of its divisors is an integer number (2336607).

Almost surely, 2^45644000 is an apocalyptic number.

45644000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45644000 is an abundant number, since it is smaller than the sum of its proper divisors (66513136).

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

45644000 is a wasteful number, since it uses less digits than its factorization.

45644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11436 (or 11418 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 45644000 is about 6756.0343397588. The cubic root of 45644000 is about 357.3780698179.

Adding to 45644000 its reverse (44654), we get a palindrome (45688654).

The spelling of 45644000 in words is "forty-five million, six hundred forty-four thousand".