284220384 has 288 divisors, whose sum is σ = 943197696. Its totient is φ = 74511360.

The previous prime is 284220359. The next prime is 284220401. The reversal of 284220384 is 483022482.

It is a super-2 number, since 2×284220384² = 161562453362214912, which contains 22 as substring.

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, 4003069 + ... + 4003139.

It is an arithmetic number, because the mean of its divisors is an integer number (3274992).

Almost surely, 2^284220384 is an apocalyptic number.

284220384 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 284220384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471598848).

284220384 is an abundant number, since it is smaller than the sum of its proper divisors (658977312).

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

284220384 is a wasteful number, since it uses less digits than its factorization.

284220384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 284220384 is about 16858.8369705624. The cubic root of 284220384 is about 657.4838263646.

The spelling of 284220384 in words is "two hundred eighty-four million, two hundred twenty thousand, three hundred eighty-four".