289978416 has 120 divisors (see below), whose sum is σ = 998859680. Its totient is φ = 76474368.

The previous prime is 289978393. The next prime is 289978417. The reversal of 289978416 is 614879982.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (289978417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2040 + ... + 24168.

Almost surely, 2^289978416 is an apocalyptic number.

289978416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289978416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499429840).

289978416 is an abundant number, since it is smaller than the sum of its proper divisors (708881264).

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

289978416 is a wasteful number, since it uses less digits than its factorization.

289978416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22163 (or 22154 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 289978416 is about 17028.7526260733. The cubic root of 289978416 is about 661.8941729259.

The spelling of 289978416 in words is "two hundred eighty-nine million, nine hundred seventy-eight thousand, four hundred sixteen".