441161280 has 336 divisors, whose sum is σ = 1762475520. Its totient is φ = 99201024.

The previous prime is 441161251. The next prime is 441161291. The reversal of 441161280 is 82161144.

It is a happy number.

441161280 is a `hidden beast` number, since 4 + 41 + 1 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1592502 + ... + 1592778.

Almost surely, 2^441161280 is an apocalyptic number.

441161280 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 441161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881237760).

441161280 is an abundant number, since it is smaller than the sum of its proper divisors (1321314240).

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

441161280 is a wasteful number, since it uses less digits than its factorization.

441161280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 441161280 is about 21003.8396489785. The cubic root of 441161280 is about 761.2590395846.

The spelling of 441161280 in words is "four hundred forty-one million, one hundred sixty-one thousand, two hundred eighty".