442610532 has 108 divisors (see below), whose sum is σ = 1401672636. Its totient is φ = 116726400.

The previous prime is 442610527. The next prime is 442610563. The reversal of 442610532 is 235016244.

442610532 is a `hidden beast` number, since 4 + 42 + 610 + 5 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 150405696 + 292204836 = 12264^2 + 17094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442610496 and 442610505.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13282 + ... + 32582.

Almost surely, 2^442610532 is an apocalyptic number.

442610532 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442610532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700836318).

442610532 is an abundant number, since it is smaller than the sum of its proper divisors (959062104).

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

442610532 is a wasteful number, since it uses less digits than its factorization.

442610532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19338 (or 19326 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 442610532 is about 21038.3110538845. The cubic root of 442610532 is about 762.0917284742.

Adding to 442610532 its reverse (235016244), we get a palindrome (677626776).

The spelling of 442610532 in words is "four hundred forty-two million, six hundred ten thousand, five hundred thirty-two".