441880400 has 60 divisors (see below), whose sum is σ = 1143294012. Its totient is φ = 163153920.

The previous prime is 441880399. The next prime is 441880421. The reversal of 441880400 is 4088144.

It can be written as a sum of positive squares in 6 ways, for example, as 117592336 + 324288064 = 10844^2 + 18008^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37289 + ... + 47688.

Almost surely, 2^441880400 is an apocalyptic number.

441880400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441880400 is an abundant number, since it is smaller than the sum of its proper divisors (701413612).

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

441880400 is a wasteful number, since it uses less digits than its factorization.

441880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85008 (or 84997 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 441880400 is about 21020.9514532525. The cubic root of 441880400 is about 761.6724480459.

The spelling of 441880400 in words is "four hundred forty-one million, eight hundred eighty thousand, four hundred".