289777920 has 288 divisors, whose sum is σ = 1027821312. Its totient is φ = 69206016.

The previous prime is 289777913. The next prime is 289777921. The reversal of 289777920 is 29777982.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289777921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1501344 + ... + 1501536.

It is an arithmetic number, because the mean of its divisors is an integer number (3568824).

Almost surely, 2^289777920 is an apocalyptic number.

289777920 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 289777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513910656).

289777920 is an abundant number, since it is smaller than the sum of its proper divisors (738043392).

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

289777920 is a wasteful number, since it uses less digits than its factorization.

289777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 51.

The square root of 289777920 is about 17022.8646237935. The cubic root of 289777920 is about 661.7415894647.

The spelling of 289777920 in words is "two hundred eighty-nine million, seven hundred seventy-seven thousand, nine hundred twenty".