441272832 has 480 divisors, whose sum is σ = 1645769664. Its totient is φ = 103219200.

The previous prime is 441272807. The next prime is 441272833. The reversal of 441272832 is 238272144.

It is a happy number.

It is a super-2 number, since 2×441272832² = 389443424522600448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 441272793 and 441272802.

It is not an unprimeable number, because it can be changed into a prime (441272833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10762732 + ... + 10762772.

Almost surely, 2^441272832 is an apocalyptic number.

441272832 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 441272832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822884832).

441272832 is an abundant number, since it is smaller than the sum of its proper divisors (1204496832).

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

441272832 is a wasteful number, since it uses less digits than its factorization.

441272832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 77 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 441272832 is about 21006.4949955960. The cubic root of 441272832 is about 761.3231981404.

The spelling of 441272832 in words is "four hundred forty-one million, two hundred seventy-two thousand, eight hundred thirty-two".