442624144 has 20 divisors (see below), whose sum is σ = 894871296. Its totient is φ = 211689632.

The previous prime is 442624141. The next prime is 442624157. The reversal of 442624144 is 441426244.

It is a super-3 number, since 3×442624144³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (442624141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 601024 + ... + 601759.

Almost surely, 2^442624144 is an apocalyptic number.

It is an amenable number.

442624144 is an abundant number, since it is smaller than the sum of its proper divisors (452247152).

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

442624144 is a wasteful number, since it uses less digits than its factorization.

442624144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202814 (or 1202808 counting only the distinct ones).

The product of its digits is 24576, while the sum is 31.

The square root of 442624144 is about 21038.6345564535. The cubic root of 442624144 is about 762.0995408251.

The spelling of 442624144 in words is "four hundred forty-two million, six hundred twenty-four thousand, one hundred forty-four".