289470048 has 192 divisors, whose sum is σ = 907200000. Its totient is φ = 80758272.

The previous prime is 289470043. The next prime is 289470059. The reversal of 289470048 is 840074982.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 289469991 and 289470009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289470043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1942678 + ... + 1942826.

It is an arithmetic number, because the mean of its divisors is an integer number (4725000).

Almost surely, 2^289470048 is an apocalyptic number.

289470048 is a gapful number since it is divisible by the number (28) 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 289470048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600000).

289470048 is an abundant number, since it is smaller than the sum of its proper divisors (617729952).

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

289470048 is a wasteful number, since it uses less digits than its factorization.

289470048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 289470048 is about 17013.8193243022. The cubic root of 289470048 is about 661.5071525780.

The spelling of 289470048 in words is "two hundred eighty-nine million, four hundred seventy thousand, forty-eight".