289125504 has 128 divisors (see below), whose sum is σ = 859248000. Its totient is φ = 95708160.

The previous prime is 289125491. The next prime is 289125509. The reversal of 289125504 is 405521982.

289125504 is a `hidden beast` number, since 28 + 9 + 125 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (289125509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 929509 + ... + 929819.

It is an arithmetic number, because the mean of its divisors is an integer number (6712875).

Almost surely, 2^289125504 is an apocalyptic number.

289125504 is a gapful number since it is divisible by the number (24) 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 289125504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429624000).

289125504 is an abundant number, since it is smaller than the sum of its proper divisors (570122496).

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

289125504 is a wasteful number, since it uses less digits than its factorization.

289125504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 289125504 is about 17003.6908934502. The cubic root of 289125504 is about 661.2445936834.

The spelling of 289125504 in words is "two hundred eighty-nine million, one hundred twenty-five thousand, five hundred four".