288404160 has 224 divisors, whose sum is σ = 1032321024. Its totient is φ = 67584000.

The previous prime is 288404143. The next prime is 288404161. The reversal of 288404160 is 61404882.

It is a super-3 number, since 3×288404160³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288404161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326920 + ... + 327800.

It is an arithmetic number, because the mean of its divisors is an integer number (4608576).

Almost surely, 2^288404160 is an apocalyptic number.

288404160 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 288404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516160512).

288404160 is an abundant number, since it is smaller than the sum of its proper divisors (743916864).

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

288404160 is a wasteful number, since it uses less digits than its factorization.

288404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 288404160 is about 16982.4662519906. The cubic root of 288404160 is about 660.6942190267.

The spelling of 288404160 in words is "two hundred eighty-eight million, four hundred four thousand, one hundred sixty".