45770920 has 128 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 15611904.

The previous prime is 45770909. The next prime is 45770947. The reversal of 45770920 is 2907754.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514236 + ... + 514324.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 2^45770920 is an apocalyptic number.

45770920 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 45770920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

45770920 is an abundant number, since it is smaller than the sum of its proper divisors (73979480).

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

45770920 is a wasteful number, since it uses less digits than its factorization.

45770920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 45770920 is about 6765.4209033881. The cubic root of 45770920 is about 357.7090110696.

The spelling of 45770920 in words is "forty-five million, seven hundred seventy thousand, nine hundred twenty".