444525040 has 40 divisors (see below), whose sum is σ = 1034732880. Its totient is φ = 177601536.

The previous prime is 444525023. The next prime is 444525041. The reversal of 444525040 is 40525444.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×444525040² = 395205022374003200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444525041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77967 + ... + 83473.

It is an arithmetic number, because the mean of its divisors is an integer number (25868322).

Almost surely, 2^444525040 is an apocalyptic number.

444525040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444525040 is an abundant number, since it is smaller than the sum of its proper divisors (590207840).

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

444525040 is a wasteful number, since it uses less digits than its factorization.

444525040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6529 (or 6523 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 444525040 is about 21083.7624725759. The cubic root of 444525040 is about 763.1889550210.

The spelling of 444525040 in words is "four hundred forty-four million, five hundred twenty-five thousand, forty".