444275040 has 96 divisors (see below), whose sum is σ = 1526708736. Its totient is φ = 107701760.

The previous prime is 444275033. The next prime is 444275053. The reversal of 444275040 is 40572444.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×444275040² = 394760622334003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 444274989 and 444275007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36792 + ... + 47351.

It is an arithmetic number, because the mean of its divisors is an integer number (15903216).

Almost surely, 2^444275040 is an apocalyptic number.

444275040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444275040 is an abundant number, since it is smaller than the sum of its proper divisors (1082433696).

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

444275040 is a wasteful number, since it uses less digits than its factorization.

444275040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84172 (or 84164 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 444275040 is about 21077.8329056855. The cubic root of 444275040 is about 763.0458562071.

The spelling of 444275040 in words is "four hundred forty-four million, two hundred seventy-five thousand, forty".