45788820 has 288 divisors, whose sum is σ = 173746944. Its totient is φ = 8785920.

The previous prime is 45788783. The next prime is 45788833. The reversal of 45788820 is 2888754.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 863914 + ... + 863966.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 2^45788820 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 45788820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472).

45788820 is an abundant number, since it is smaller than the sum of its proper divisors (127958124).

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

45788820 is a wasteful number, since it uses less digits than its factorization.

45788820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 45788820 is about 6766.7436777227. The cubic root of 45788820 is about 357.7556357007.

The spelling of 45788820 in words is "forty-five million, seven hundred eighty-eight thousand, eight hundred twenty".