284273664 has 176 divisors, whose sum is σ = 810218976. Its totient is φ = 88473600.

The previous prime is 284273663. The next prime is 284273669. The reversal of 284273664 is 466372482.

284273664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (387072) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284273663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4660194 + ... + 4660254.

Almost surely, 2^284273664 is an apocalyptic number.

284273664 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 284273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405109488).

284273664 is an abundant number, since it is smaller than the sum of its proper divisors (525945312).

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

284273664 is a wasteful number, since it uses less digits than its factorization.

284273664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 284273664 is about 16860.4170766918. The cubic root of 284273664 is about 657.5249078065.

The spelling of 284273664 in words is "two hundred eighty-four million, two hundred seventy-three thousand, six hundred sixty-four".