288399904 has 96 divisors (see below), whose sum is σ = 644713776. Its totient is φ = 126074880.

The previous prime is 288399901. The next prime is 288399907. The reversal of 288399904 is 409993882.

It is an interprime number because it is at equal distance from previous prime (288399901) and next prime (288399907).

It can be written as a sum of positive squares in 8 ways, for example, as 131148304 + 157251600 = 11452^2 + 12540^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (288399901) 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, 630844 + ... + 631300.

Almost surely, 2^288399904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288399904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322356888).

288399904 is an abundant number, since it is smaller than the sum of its proper divisors (356313872).

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

288399904 is a wasteful number, since it uses less digits than its factorization.

288399904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The square root of 288399904 is about 16982.3409458178. The cubic root of 288399904 is about 660.6909690407.

The spelling of 288399904 in words is "two hundred eighty-eight million, three hundred ninety-nine thousand, nine hundred four".