416853889 has 9 divisors (see below), whose sum is σ = 443186121. Its totient is φ = 392006400.

The previous prime is 416853883. The next prime is 416853893. The reversal of 416853889 is 988358614.

The square root of 416853889 is 20417.

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

It can be written as a sum of positive squares in 4 ways, for example, as 78588225 + 338265664 = 8865^2 + 18392^2 .

It is not a de Polignac number, because 416853889 - 2³ = 416853881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416853881) 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, 346489 + ... + 347689.

Almost surely, 2^416853889 is an apocalyptic number.

416853889 is the 20417-th square number.

416853889 is the 10209-th centered octagonal number.

It is an amenable number.

416853889 is a deficient number, since it is larger than the sum of its proper divisors (26332232).

416853889 is an frugal number, since it uses more digits than its factorization.

416853889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 1218 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 52.

The cubic root of 416853889 is about 747.0126435486.

The spelling of 416853889 in words is "four hundred sixteen million, eight hundred fifty-three thousand, eight hundred eighty-nine".