289473956400 has 240 divisors, whose sum is σ = 950902888320. Its totient is φ = 75230668800.

The previous prime is 289473956363. The next prime is 289473956417. The reversal of 289473956400 is 4659374982.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57217071 + ... + 57222129.

It is an arithmetic number, because the mean of its divisors is an integer number (3962095368).

Almost surely, 2^289473956400 is an apocalyptic number.

289473956400 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 289473956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475451444160).

289473956400 is an abundant number, since it is smaller than the sum of its proper divisors (661428931920).

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

289473956400 is a wasteful number, since it uses less digits than its factorization.

289473956400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6284 (or 6273 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 289473956400 in words is "two hundred eighty-nine billion, four hundred seventy-three million, nine hundred fifty-six thousand, four hundred".