45360720 has 90 divisors (see below), whose sum is σ = 152945754. Its totient is φ = 12048000.

The previous prime is 45360713. The next prime is 45360751. The reversal of 45360720 is 2706354.

It is a happy number.

45360720 is a `hidden beast` number, since 4 + 53 + 607 + 2 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36288576 + 9072144 = 6024^2 + 3012^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 180595 + ... + 180845.

It is a vampire number, since it can be written as 6024 ⋅ 7530 (with its own digits).

Almost surely, 2^45360720 is an apocalyptic number.

45360720 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 45360720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76472877).

45360720 is an abundant number, since it is smaller than the sum of its proper divisors (107585034).

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

45360720 is a wasteful number, since it uses less digits than its factorization.

45360720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 261 counting only the distinct ones).

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

The square root of 45360720 is about 6735.0367482294. The cubic root of 45360720 is about 356.6372041152.

The spelling of 45360720 in words is "forty-five million, three hundred sixty thousand, seven hundred twenty".