289974400 has 48 divisors (see below), whose sum is σ = 716335290. Its totient is φ = 115988480.

The previous prime is 289974383. The next prime is 289974449. The reversal of 289974400 is 4479982.

It can be written as a sum of positive squares in 3 ways, for example, as 283046976 + 6927424 = 16824^2 + 2632^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42109 + ... + 48508.

Almost surely, 2^289974400 is an apocalyptic number.

289974400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289974400 is an abundant number, since it is smaller than the sum of its proper divisors (426360890).

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

289974400 is an equidigital number, since it uses as much as digits as its factorization.

289974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90641 (or 90624 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 289974400 is about 17028.6347074567. The cubic root of 289974400 is about 661.8911173200.

The spelling of 289974400 in words is "two hundred eighty-nine million, nine hundred seventy-four thousand, four hundred".