442531404 has 96 divisors (see below), whose sum is σ = 1341795840. Its totient is φ = 123488064.

The previous prime is 442531357. The next prime is 442531469. The reversal of 442531404 is 404135244.

It is a happy number.

442531404 is a `hidden beast` number, since 4 + 4 + 253 + 1 + 404 = 666.

It is a super-2 number, since 2×442531404² = 391668087052422432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25702 + ... + 39314.

It is an arithmetic number, because the mean of its divisors is an integer number (13977040).

Almost surely, 2^442531404 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 442531404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670897920).

442531404 is an abundant number, since it is smaller than the sum of its proper divisors (899264436).

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

442531404 is a wasteful number, since it uses less digits than its factorization.

442531404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13676 (or 13668 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 442531404 is about 21036.4304006169. The cubic root of 442531404 is about 762.0463112780.

Adding to 442531404 its reverse (404135244), we get a palindrome (846666648).

The spelling of 442531404 in words is "four hundred forty-two million, five hundred thirty-one thousand, four hundred four".