289174920 has 32 divisors (see below), whose sum is σ = 867525120. Its totient is φ = 77113280.

The previous prime is 289174909. The next prime is 289174931. The reversal of 289174920 is 29471982.

It is an interprime number because it is at equal distance from previous prime (289174909) and next prime (289174931).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1204776 + ... + 1205015.

It is an arithmetic number, because the mean of its divisors is an integer number (27110160).

Almost surely, 2^289174920 is an apocalyptic number.

289174920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289174920 is an abundant number, since it is smaller than the sum of its proper divisors (578350200).

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

289174920 is a wasteful number, since it uses less digits than its factorization.

289174920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409805 (or 2409801 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 289174920 is about 17005.1439276473. The cubic root of 289174920 is about 661.2822638312.

The spelling of 289174920 in words is "two hundred eighty-nine million, one hundred seventy-four thousand, nine hundred twenty".