45664800 has 144 divisors (see below), whose sum is σ = 151865280. Its totient is φ = 11914240.

The previous prime is 45664793. The next prime is 45664813. The reversal of 45664800 is 846654.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127021 + ... + 127379.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 2^45664800 is an apocalyptic number.

45664800 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 45664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75932640).

45664800 is an abundant number, since it is smaller than the sum of its proper divisors (106200480).

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

45664800 is a wasteful number, since it uses less digits than its factorization.

45664800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 45664800 is about 6757.5735290117. The cubic root of 45664800 is about 357.4323473790.

It can be divided in two parts, 45664 and 800, that added together give a palindrome (46464).

The spelling of 45664800 in words is "forty-five million, six hundred sixty-four thousand, eight hundred".