289400961600 has 189 divisors, whose sum is σ = 1028828843913. Its totient is φ = 77156375040.

The previous prime is 289400961593. The next prime is 289400961601. The reversal of 289400961600 is 6169004982.

It is a happy number.

The square root of 289400961600 is 537960.

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

289400961600 is a `hidden beast` number, since 2 + 89 + 400 + 9 + 6 + 160 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104184346176 + 185216615424 = 322776^2 + 430368^2 .

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

It is not an unprimeable number, because it can be changed into a prime (289400961601) 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, 64552959 + ... + 64557441.

Almost surely, 2^289400961600 is an apocalyptic number.

289400961600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

289400961600 is the 537960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289400961600

289400961600 is an abundant number, since it is smaller than the sum of its proper divisors (739427882313).

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

289400961600 is an frugal number, since it uses more digits than its factorization.

289400961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8994 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 289400961600 in words is "two hundred eighty-nine billion, four hundred million, nine hundred sixty-one thousand, six hundred".