441132480 has 392 divisors, whose sum is σ = 1652406144. Its totient is φ = 111974400.

The previous prime is 441132469. The next prime is 441132491. The reversal of 441132480 is 84231144.

441132480 is a `hidden beast` number, since 4 + 411 + 3 + 248 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (441132469) and next prime (441132491).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7231650 + ... + 7231710.

Almost surely, 2^441132480 is an apocalyptic number.

441132480 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 441132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826203072).

441132480 is an abundant number, since it is smaller than the sum of its proper divisors (1211273664).

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

441132480 is an equidigital number, since it uses as much as digits as its factorization.

441132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 441132480 is about 21003.1540488566. The cubic root of 441132480 is about 761.2424736571.

The spelling of 441132480 in words is "four hundred forty-one million, one hundred thirty-two thousand, four hundred eighty".