288465408 has 320 divisors, whose sum is σ = 1068503040. Its totient is φ = 74649600.

The previous prime is 288465389. The next prime is 288465427. The reversal of 288465408 is 804564882.

288465408 is a `hidden beast` number, since 28 + 84 + 6 + 540 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (288465389) and next prime (288465427).

It is a super-2 number, since 2×288465408² = 166424583225212928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1064313 + ... + 1064583.

It is an arithmetic number, because the mean of its divisors is an integer number (3339072).

Almost surely, 2^288465408 is an apocalyptic number.

288465408 is a gapful number since it is divisible by the number (28) 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 288465408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534251520).

288465408 is an abundant number, since it is smaller than the sum of its proper divisors (780037632).

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

288465408 is a wasteful number, since it uses less digits than its factorization.

288465408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 288465408 is about 16984.2694279148. The cubic root of 288465408 is about 660.7409859611.

The spelling of 288465408 in words is "two hundred eighty-eight million, four hundred sixty-five thousand, four hundred eight".