45918360 has 256 divisors, whose sum is σ = 168739200. Its totient is φ = 11059200.

The previous prime is 45918359. The next prime is 45918361. The reversal of 45918360 is 6381954.

45918360 is a `hidden beast` number, since 4 + 591 + 8 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (45918359) and next prime (45918361).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45918361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 752730 + ... + 752790.

Almost surely, 2^45918360 is an apocalyptic number.

45918360 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 45918360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

45918360 is an abundant number, since it is smaller than the sum of its proper divisors (122820840).

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

45918360 is a wasteful number, since it uses less digits than its factorization.

45918360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 45918360 is about 6776.3087296846. The cubic root of 45918360 is about 358.0926905420.

The spelling of 45918360 in words is "forty-five million, nine hundred eighteen thousand, three hundred sixty".