444657152 has 80 divisors (see below), whose sum is σ = 957855360. Its totient is φ = 205535232.

The previous prime is 444657119. The next prime is 444657173. The reversal of 444657152 is 251756444.

It is a happy number.

It is a super-2 number, since 2×444657152² = 395439965649502208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

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, 417773 + ... + 418835.

It is an arithmetic number, because the mean of its divisors is an integer number (11973192).

Almost surely, 2^444657152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478927680).

444657152 is an abundant number, since it is smaller than the sum of its proper divisors (513198208).

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

444657152 is a wasteful number, since it uses less digits than its factorization.

444657152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1127 counting only the distinct ones).

The product of its digits is 134400, while the sum is 38.

The square root of 444657152 is about 21086.8952669662. The cubic root of 444657152 is about 763.2645536362.

The spelling of 444657152 in words is "four hundred forty-four million, six hundred fifty-seven thousand, one hundred fifty-two".