444451240 has 32 divisors (see below), whose sum is σ = 1001385000. Its totient is φ = 177537024.

The previous prime is 444451199. The next prime is 444451253. The reversal of 444451240 is 42154444.

It can be written as a sum of positive squares in 4 ways, for example, as 429567076 + 14884164 = 20726^2 + 3858^2 .

It is a junction number, because it is equal to n+sod(n) for n = 444451199 and 444451208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23536 + ... + 37984.

Almost surely, 2^444451240 is an apocalyptic number.

444451240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444451240 is an abundant number, since it is smaller than the sum of its proper divisors (556933760).

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

444451240 is a wasteful number, since it uses less digits than its factorization.

444451240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15229 (or 15225 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 444451240 is about 21082.0122379245. The cubic root of 444451240 is about 763.1467178337.

The spelling of 444451240 in words is "four hundred forty-four million, four hundred fifty-one thousand, two hundred forty".