289071400 has 48 divisors (see below), whose sum is σ = 711634140. Its totient is φ = 108825600.

The previous prime is 289071319. The next prime is 289071401. The reversal of 289071400 is 4170982.

It can be written as a sum of positive squares in 6 ways, for example, as 126202756 + 162868644 = 11234^2 + 12762^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (289071401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39111 + ... + 45910.

Almost surely, 2^289071400 is an apocalyptic number.

289071400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289071400 is an abundant number, since it is smaller than the sum of its proper divisors (422562740).

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

289071400 is a wasteful number, since it uses less digits than its factorization.

289071400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85054 (or 85045 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 289071400 is about 17002.0998703101. The cubic root of 289071400 is about 661.2033449191.

The spelling of 289071400 in words is "two hundred eighty-nine million, seventy-one thousand, four hundred".