445332888 has 384 divisors, whose sum is σ = 1673118720. Its totient is φ = 103265280.

The previous prime is 445332883. The next prime is 445332911. The reversal of 445332888 is 888233544.

It is a super-2 number, since 2×445332888² = 396642762268841088, which contains 22 as substring.

It is a Sastry number since concatenated with its successor gives a square.

Its product of digits (737280) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445332883) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2666581 + ... + 2666747.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^445332888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445332888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836559360).

445332888 is an abundant number, since it is smaller than the sum of its proper divisors (1227785832).

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

445332888 is a wasteful number, since it uses less digits than its factorization.

445332888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 445332888 is about 21102.9118369954. The cubic root of 445332888 is about 763.6509969057.

It can be divided in two parts, 445 and 332888, that added together give a palindrome (333333).

The spelling of 445332888 in words is "four hundred forty-five million, three hundred thirty-two thousand, eight hundred eighty-eight".