289680400 has 135 divisors (see below), whose sum is σ = 747726231. Its totient is φ = 107838720.

The previous prime is 289680397. The next prime is 289680401. The reversal of 289680400 is 4086982.

289680400 = 1³ + 2³ + ... + 184³.

The square root of 289680400 is 17020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 27499536 + 262180864 = 5244^2 + 16192^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 289680400.

It is not an unprimeable number, because it can be changed into a prime (289680401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7829182 + ... + 7829218.

Almost surely, 2^289680400 is an apocalyptic number.

289680400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

289680400 is the 17020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289680400

289680400 is an abundant number, since it is smaller than the sum of its proper divisors (458045831).

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

289680400 is a wasteful number, since it uses less digits than its factorization.

289680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The cubic root of 289680400 is about 661.6673483811.

The spelling of 289680400 in words is "two hundred eighty-nine million, six hundred eighty thousand, four hundred".