441900480 has 224 divisors, whose sum is σ = 1688348160. Its totient is φ = 95662080.

The previous prime is 441900479. The next prime is 441900493. The reversal of 441900480 is 84009144.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125950 + ... + 129410.

Almost surely, 2^441900480 is an apocalyptic number.

441900480 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 441900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844174080).

441900480 is an abundant number, since it is smaller than the sum of its proper divisors (1246447680).

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

441900480 is a wasteful number, since it uses less digits than its factorization.

441900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 441900480 is about 21021.4290665502. The cubic root of 441900480 is about 761.6839852184.

The spelling of 441900480 in words is "four hundred forty-one million, nine hundred thousand, four hundred eighty".