441400320 has 352 divisors, whose sum is σ = 1634979840. Its totient is φ = 112803840.

The previous prime is 441400307. The next prime is 441400321. The reversal of 441400320 is 23004144.

It is a super-2 number, since 2×441400320² = 389668484992204800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 441400293 and 441400302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441400321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4285389 + ... + 4285491.

Almost surely, 2^441400320 is an apocalyptic number.

441400320 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 441400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817489920).

441400320 is an abundant number, since it is smaller than the sum of its proper divisors (1193579520).

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

441400320 is a wasteful number, since it uses less digits than its factorization.

441400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 441400320 is about 21009.5292665019. The cubic root of 441400320 is about 761.3965089655.

Adding to 441400320 its reverse (23004144), we get a palindrome (464404464).

The spelling of 441400320 in words is "four hundred forty-one million, four hundred thousand, three hundred twenty".