442561572 has 36 divisors (see below), whose sum is σ = 1119605760. Its totient is φ = 147400752.

The previous prime is 442561571. The next prime is 442561579. The reversal of 442561572 is 275165244.

It is a happy number.

442561572 is a `hidden beast` number, since 4 + 4 + 25 + 61 + 572 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×442561572² = 391721490022222368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (442561571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47533 + ... + 56075.

It is an arithmetic number, because the mean of its divisors is an integer number (31100160).

Almost surely, 2^442561572 is an apocalyptic number.

It is an amenable number.

442561572 is an abundant number, since it is smaller than the sum of its proper divisors (677044188).

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

442561572 is a wasteful number, since it uses less digits than its factorization.

442561572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9992 (or 9987 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 442561572 is about 21037.1474302007. The cubic root of 442561572 is about 762.0636274808.

The spelling of 442561572 in words is "four hundred forty-two million, five hundred sixty-one thousand, five hundred seventy-two".