288870400 has 312 divisors, whose sum is σ = 910052864. Its totient is φ = 88473600.

The previous prime is 288870367. The next prime is 288870419. The reversal of 288870400 is 4078882.

It is a super-2 number, since 2×288870400² = 166892215992320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 288870400.

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, 9318385 + ... + 9318415.

Almost surely, 2^288870400 is an apocalyptic number.

288870400 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 288870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455026432).

288870400 is an abundant number, since it is smaller than the sum of its proper divisors (621182464).

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

288870400 is a wasteful number, since it uses less digits than its factorization.

288870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 288870400 is about 16996.1878078586. The cubic root of 288870400 is about 661.0500578906.

The spelling of 288870400 in words is "two hundred eighty-eight million, eight hundred seventy thousand, four hundred".