288045420 has 96 divisors (see below), whose sum is σ = 875508480. Its totient is φ = 70337280.

The previous prime is 288045419. The next prime is 288045431. The reversal of 288045420 is 24540882.

It is a happy number.

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, 100771 + ... + 103589.

It is an arithmetic number, because the mean of its divisors is an integer number (9119880).

Almost surely, 2^288045420 is an apocalyptic number.

288045420 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 288045420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437754240).

288045420 is an abundant number, since it is smaller than the sum of its proper divisors (587463060).

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

288045420 is a wasteful number, since it uses less digits than its factorization.

288045420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 288045420 is about 16971.9008953034. The cubic root of 288045420 is about 660.4201640503.

The spelling of 288045420 in words is "two hundred eighty-eight million, forty-five thousand, four hundred twenty".