45716580 has 144 divisors (see below), whose sum is σ = 170736384. Its totient is φ = 9642240.

The previous prime is 45716551. The next prime is 45716591. The reversal of 45716580 is 8561754.

45716580 is a `hidden beast` number, since 4 + 5 + 71 + 6 + 580 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14985 + ... + 17775.

Almost surely, 2^45716580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45716580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85368192).

45716580 is an abundant number, since it is smaller than the sum of its proper divisors (125019804).

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

45716580 is a wasteful number, since it uses less digits than its factorization.

45716580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 45716580 is about 6761.4037004161. The cubic root of 45716580 is about 357.5673956430.

The spelling of 45716580 in words is "forty-five million, seven hundred sixteen thousand, five hundred eighty".