288874300 has 72 divisors (see below), whose sum is σ = 736484112. Its totient is φ = 96960000.

The previous prime is 288874291. The next prime is 288874349. The reversal of 288874300 is 3478882.

It is a super-2 number, since 2×288874300² = 166896722400980000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4200 + ... + 24400.

It is an arithmetic number, because the mean of its divisors is an integer number (10228946).

Almost surely, 2^288874300 is an apocalyptic number.

288874300 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 288874300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368242056).

288874300 is an abundant number, since it is smaller than the sum of its proper divisors (447609812).

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

288874300 is a wasteful number, since it uses less digits than its factorization.

288874300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20239 (or 20232 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 288874300 is about 16996.3025390818. The cubic root of 288874300 is about 661.0530327929.

The spelling of 288874300 in words is "two hundred eighty-eight million, eight hundred seventy-four thousand, three hundred".