284370240 has 224 divisors, whose sum is σ = 1125955584. Its totient is φ = 59074560.

The previous prime is 284370221. The next prime is 284370277. The reversal of 284370240 is 42073482.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 284370198 and 284370207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71997 + ... + 75843.

Almost surely, 2^284370240 is an apocalyptic number.

284370240 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 284370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562977792).

284370240 is an abundant number, since it is smaller than the sum of its proper divisors (841585344).

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

284370240 is a wasteful number, since it uses less digits than its factorization.

284370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 284370240 is about 16863.2808195796. The cubic root of 284370240 is about 657.5993594633.

The spelling of 284370240 in words is "two hundred eighty-four million, three hundred seventy thousand, two hundred forty".