45630720 has 216 divisors, whose sum is σ = 167881896. Its totient is φ = 11403264.

The previous prime is 45630713. The next prime is 45630733. The reversal of 45630720 is 2703654.

It is a happy number.

45630720 is a `hidden beast` number, since 4 + 5 + 630 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 41370624 = 2064^2 + 6432^2 .

It is a congruent 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, 195724 + ... + 195956.

It is an arithmetic number, because the mean of its divisors is an integer number (777231).

Almost surely, 2^45630720 is an apocalyptic number.

45630720 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 45630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83940948).

45630720 is an abundant number, since it is smaller than the sum of its proper divisors (122251176).

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

45630720 is a wasteful number, since it uses less digits than its factorization.

45630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 45630720 is about 6755.0514431794. The cubic root of 45630720 is about 357.3434070574.

The spelling of 45630720 in words is "forty-five million, six hundred thirty thousand, seven hundred twenty".