445500480 has 112 divisors (see below), whose sum is σ = 1421489664. Its totient is φ = 118210560.

The previous prime is 445500469. The next prime is 445500529. The reversal of 445500480 is 84005544.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 213040 + ... + 215120.

It is an arithmetic number, because the mean of its divisors is an integer number (12691872).

Almost surely, 2^445500480 is an apocalyptic number.

445500480 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 445500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710744832).

445500480 is an abundant number, since it is smaller than the sum of its proper divisors (975989184).

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

445500480 is a wasteful number, since it uses less digits than its factorization.

445500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 445500480 is about 21106.8822899072. The cubic root of 445500480 is about 763.7467797461.

The spelling of 445500480 in words is "four hundred forty-five million, five hundred thousand, four hundred eighty".