445015032 has 128 divisors (see below), whose sum is σ = 1393943040. Its totient is φ = 115015680.

The previous prime is 445015031. The next prime is 445015037. The reversal of 445015032 is 230510544.

It is a super-2 number, since 2×445015032² = 396076757411922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 445014993 and 445015011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445015031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474468 + ... + 475404.

It is an arithmetic number, because the mean of its divisors is an integer number (10890180).

Almost surely, 2^445015032 is an apocalyptic number.

445015032 is a gapful number since it is divisible by the number (42) 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 445015032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696971520).

445015032 is an abundant number, since it is smaller than the sum of its proper divisors (948928008).

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

445015032 is a wasteful number, since it uses less digits than its factorization.

445015032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 445015032 is about 21095.3793992903. The cubic root of 445015032 is about 763.4692685624.

Adding to 445015032 its reverse (230510544), we get a palindrome (675525576).

The spelling of 445015032 in words is "four hundred forty-five million, fifteen thousand, thirty-two".