289377900 has 288 divisors, whose sum is σ = 1084930560. Its totient is φ = 64800000.

The previous prime is 289377899. The next prime is 289377929. The reversal of 289377900 is 9773982.

289377900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1152775 + ... + 1153025.

It is an arithmetic number, because the mean of its divisors is an integer number (3767120).

Almost surely, 2^289377900 is an apocalyptic number.

289377900 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 289377900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542465280).

289377900 is an abundant number, since it is smaller than the sum of its proper divisors (795552660).

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

289377900 is a wasteful number, since it uses less digits than its factorization.

289377900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 289377900 is about 17011.1110748240. Note that the first 3 decimals coincide. The cubic root of 289377900 is about 661.4369518429.

The spelling of 289377900 in words is "two hundred eighty-nine million, three hundred seventy-seven thousand, nine hundred".