289752540 has 192 divisors, whose sum is σ = 1029611520. Its totient is φ = 59132160.

The previous prime is 289752523. The next prime is 289752559. The reversal of 289752540 is 45257982.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 289752492 and 289752501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272049 + ... + 273111.

It is an arithmetic number, because the mean of its divisors is an integer number (5362560).

Almost surely, 2^289752540 is an apocalyptic number.

289752540 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 289752540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514805760).

289752540 is an abundant number, since it is smaller than the sum of its proper divisors (739858980).

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

289752540 is a wasteful number, since it uses less digits than its factorization.

289752540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 289752540 is about 17022.1191395196. The cubic root of 289752540 is about 661.7222695065.

The spelling of 289752540 in words is "two hundred eighty-nine million, seven hundred fifty-two thousand, five hundred forty".