442414072 has 16 divisors (see below), whose sum is σ = 829785240. Its totient is φ = 221138016.

The previous prime is 442414043. The next prime is 442414079. The reversal of 442414072 is 270414244.

It is a super-2 number, since 2×442414072² = 391460422207242368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442414072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442414079) 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, 27523 + ... + 40525.

Almost surely, 2^442414072 is an apocalyptic number.

It is an amenable number.

442414072 is a deficient number, since it is larger than the sum of its proper divisors (387371168).

442414072 is a wasteful number, since it uses less digits than its factorization.

442414072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17262 (or 17258 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The square root of 442414072 is about 21033.6414346161. The cubic root of 442414072 is about 761.9789561175.

It can be divided in two parts, 4424 and 14072, that added together give a square (18496 = 136²).

The spelling of 442414072 in words is "four hundred forty-two million, four hundred fourteen thousand, seventy-two".