445271040 has 176 divisors, whose sum is σ = 1582904160. Its totient is φ = 118702080.

The previous prime is 445271039. The next prime is 445271059. The reversal of 445271040 is 40172544.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 445270995 and 445271013.

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, 136630 + ... + 139850.

Almost surely, 2^445271040 is an apocalyptic number.

445271040 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 445271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791452080).

445271040 is an abundant number, since it is smaller than the sum of its proper divisors (1137633120).

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

445271040 is a wasteful number, since it uses less digits than its factorization.

445271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 445271040 is about 21101.4463959227. The cubic root of 445271040 is about 763.6156432226.

The spelling of 445271040 in words is "four hundred forty-five million, two hundred seventy-one thousand, forty".