45022080 has 128 divisors (see below), whose sum is σ = 145411200. Its totient is φ = 11847680.

The previous prime is 45022051. The next prime is 45022091. The reversal of 45022080 is 8022054.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251431 + ... + 251609.

It is an arithmetic number, because the mean of its divisors is an integer number (1136025).

Almost surely, 2^45022080 is an apocalyptic number.

45022080 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 45022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72705600).

45022080 is an abundant number, since it is smaller than the sum of its proper divisors (100389120).

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

45022080 is a wasteful number, since it uses less digits than its factorization.

45022080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 45022080 is about 6709.8494767021. The cubic root of 45022080 is about 355.7474959028.

The spelling of 45022080 in words is "forty-five million, twenty-two thousand, eighty".