441494800 has 30 divisors (see below), whose sum is σ = 1060692218. Its totient is φ = 176597760.

The previous prime is 441494783. The next prime is 441494819. The reversal of 441494800 is 8494144.

It can be written as a sum of positive squares in 3 ways, for example, as 33131536 + 408363264 = 5756^2 + 20208^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 551469 + ... + 552268.

Almost surely, 2^441494800 is an apocalyptic number.

441494800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441494800 is an abundant number, since it is smaller than the sum of its proper divisors (619197418).

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

441494800 is a wasteful number, since it uses less digits than its factorization.

441494800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103755 (or 1103744 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 441494800 is about 21011.7776496897. Note that the first 3 decimals coincide. The cubic root of 441494800 is about 761.4508297313.

The spelling of 441494800 in words is "four hundred forty-one million, four hundred ninety-four thousand, eight hundred".