442934116 has 27 divisors (see below), whose sum is σ = 824745369. Its totient is φ = 208102848.

The previous prime is 442934113. The next prime is 442934131. The reversal of 442934116 is 611439244.

The square root of 442934116 is 21046.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 344844900 + 98089216 = 18570^2 + 9904^2 .

It is a super-2 number, since 2×442934116² = 392381262233402912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442934113) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 715255 + ... + 715873.

Almost surely, 2^442934116 is an apocalyptic number.

442934116 is the 21046-th square number.

It is an amenable number.

442934116 is a deficient number, since it is larger than the sum of its proper divisors (381811253).

442934116 is an equidigital number, since it uses as much as digits as its factorization.

442934116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 638 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The cubic root of 442934116 is about 762.2774000760.

Multiplying 442934116 by its product of digits (20736), we get a square (9184681829376 = 3030624²).

The spelling of 442934116 in words is "four hundred forty-two million, nine hundred thirty-four thousand, one hundred sixteen".