288490464 has 96 divisors (see below), whose sum is σ = 868654080. Its totient is φ = 93052800.

The previous prime is 288490457. The next prime is 288490507. The reversal of 288490464 is 464094882.

288490464 is a `hidden beast` number, since 28 + 84 + 90 + 464 = 666.

288490464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21399 + ... + 32169.

It is an arithmetic number, because the mean of its divisors is an integer number (9048480).

Almost surely, 2^288490464 is an apocalyptic number.

288490464 is a gapful number since it is divisible by the number (24) 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 288490464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434327040).

288490464 is an abundant number, since it is smaller than the sum of its proper divisors (580163616).

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

288490464 is a wasteful number, since it uses less digits than its factorization.

288490464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10821 (or 10807 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 288490464 is about 16985.0070356182. The cubic root of 288490464 is about 660.7601159808.

The spelling of 288490464 in words is "two hundred eighty-eight million, four hundred ninety thousand, four hundred sixty-four".