442483632 has 60 divisors (see below), whose sum is σ = 1240066464. Its totient is φ = 147288960.

The previous prime is 442483579. The next prime is 442483649. The reversal of 442483632 is 236384244.

It is a super-3 number, since 3×442483632³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129498 + ... + 132870.

Almost surely, 2^442483632 is an apocalyptic number.

It is an amenable number.

442483632 is an abundant number, since it is smaller than the sum of its proper divisors (797582832).

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

442483632 is a wasteful number, since it uses less digits than its factorization.

442483632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 4289 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 442483632 is about 21035.2949111725. The cubic root of 442483632 is about 762.0188889029.

The spelling of 442483632 in words is "four hundred forty-two million, four hundred eighty-three thousand, six hundred thirty-two".