444077040 has 80 divisors (see below), whose sum is σ = 1501796736. Its totient is φ = 107654400.

The previous prime is 444077021. The next prime is 444077041. The reversal of 444077040 is 40770444.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 444076989 and 444077007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444077041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81466 + ... + 86745.

Almost surely, 2^444077040 is an apocalyptic number.

444077040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444077040 is an abundant number, since it is smaller than the sum of its proper divisors (1057719696).

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

444077040 is a wasteful number, since it uses less digits than its factorization.

444077040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168238 (or 168232 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 444077040 is about 21073.1355047131. The cubic root of 444077040 is about 762.9324838469.

It can be divided in two parts, 4 and 44077040, that added together give a palindrome (44077044).

The spelling of 444077040 in words is "four hundred forty-four million, seventy-seven thousand, forty".