45664000 has 72 divisors (see below), whose sum is σ = 113834448. Its totient is φ = 18252800.

The previous prime is 45663991. The next prime is 45664007. The reversal of 45664000 is 46654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45664007) 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, 31287 + ... + 32713.

It is an arithmetic number, because the mean of its divisors is an integer number (1581034).

Almost surely, 2^45664000 is an apocalyptic number.

45664000 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 45664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56917224).

45664000 is an abundant number, since it is smaller than the sum of its proper divisors (68170448).

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

45664000 is an equidigital number, since it uses as much as digits as its factorization.

45664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 45664000 is about 6757.5143359078. The cubic root of 45664000 is about 357.4302600853.

The spelling of 45664000 in words is "forty-five million, six hundred sixty-four thousand".