289014480 has 120 divisors (see below), whose sum is σ = 1006623072. Its totient is φ = 77065344.

The previous prime is 289014463. The next prime is 289014487. The reversal of 289014480 is 84410982.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289014487) 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, 12007 + ... + 26873.

Almost surely, 2^289014480 is an apocalyptic number.

289014480 is a gapful number since it is divisible by the number (20) 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 289014480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503311536).

289014480 is an abundant number, since it is smaller than the sum of its proper divisors (717608592).

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

289014480 is a wasteful number, since it uses less digits than its factorization.

289014480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14895 (or 14877 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 289014480 is about 17000.4258770185. The cubic root of 289014480 is about 661.1599436869.

The spelling of 289014480 in words is "two hundred eighty-nine million, fourteen thousand, four hundred eighty".