289942464 has 224 divisors, whose sum is σ = 933419520. Its totient is φ = 77672448.

The previous prime is 289942441. The next prime is 289942571. The reversal of 289942464 is 464249982.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675882 + ... + 1676054.

Almost surely, 2^289942464 is an apocalyptic number.

289942464 is a gapful number since it is divisible by the number (24) 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 289942464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466709760).

289942464 is an abundant number, since it is smaller than the sum of its proper divisors (643477056).

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

289942464 is a wasteful number, since it uses less digits than its factorization.

289942464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 289942464 is about 17027.6969670006. The cubic root of 289942464 is about 661.8668175534.

The spelling of 289942464 in words is "two hundred eighty-nine million, nine hundred forty-two thousand, four hundred sixty-four".