288390480 has 240 divisors, whose sum is σ = 1053414720. Its totient is φ = 65071104.

The previous prime is 288390461. The next prime is 288390497. The reversal of 288390480 is 84093882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1611031 + ... + 1611209.

It is an arithmetic number, because the mean of its divisors is an integer number (4389228).

Almost surely, 2^288390480 is an apocalyptic number.

288390480 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 288390480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526707360).

288390480 is an abundant number, since it is smaller than the sum of its proper divisors (765024240).

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

288390480 is a wasteful number, since it uses less digits than its factorization.

288390480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 288390480 is about 16982.0634788591. The cubic root of 288390480 is about 660.6837725294.

The spelling of 288390480 in words is "two hundred eighty-eight million, three hundred ninety thousand, four hundred eighty".