445870080 has 312 divisors, whose sum is σ = 1610022960. Its totient is φ = 114032640.

The previous prime is 445870031. The next prime is 445870081. The reversal of 445870080 is 80078544.

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 (445870081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7557091 + ... + 7557149.

It is an arithmetic number, because the mean of its divisors is an integer number (5160330).

Almost surely, 2^445870080 is an apocalyptic number.

445870080 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 445870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805011480).

445870080 is an abundant number, since it is smaller than the sum of its proper divisors (1164152880).

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

445870080 is a wasteful number, since it uses less digits than its factorization.

445870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 445870080 is about 21115.6359127543. The cubic root of 445870080 is about 763.9579301232.

The spelling of 445870080 in words is "four hundred forty-five million, eight hundred seventy thousand, eighty".