441096000 has 112 divisors (see below), whose sum is σ = 1456578240. Its totient is φ = 117619200.

The previous prime is 441095959. The next prime is 441096013. The reversal of 441096000 is 690144.

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

It is a congruent number.

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, 14811 + ... + 33189.

Almost surely, 2^441096000 is an apocalyptic number.

441096000 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 441096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728289120).

441096000 is an abundant number, since it is smaller than the sum of its proper divisors (1015482240).

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

441096000 is a wasteful number, since it uses less digits than its factorization.

441096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18409 (or 18389 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 441096000 is about 21002.2855899066. The cubic root of 441096000 is about 761.2214891137.

The spelling of 441096000 in words is "four hundred forty-one million, ninety-six thousand".