441749920 has 24 divisors (see below), whose sum is σ = 1043634564. Its totient is φ = 176699904.

The previous prime is 441749899. The next prime is 441749927. The reversal of 441749920 is 29947144.

It can be written as a sum of positive squares in 2 ways, for example, as 410791824 + 30958096 = 20268^2 + 5564^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (441749927) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1380309 + ... + 1380628.

Almost surely, 2^441749920 is an apocalyptic number.

441749920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441749920 is an abundant number, since it is smaller than the sum of its proper divisors (601884644).

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

441749920 is a wasteful number, since it uses less digits than its factorization.

441749920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760952 (or 2760944 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 441749920 is about 21017.8476538393. The cubic root of 441749920 is about 761.5974708917.

The spelling of 441749920 in words is "four hundred forty-one million, seven hundred forty-nine thousand, nine hundred twenty".