284484312 has 160 divisors (see below), whose sum is σ = 926956800. Its totient is φ = 79828416.

The previous prime is 284484311. The next prime is 284484349. The reversal of 284484312 is 213484482.

It is a super-2 number, since 2×284484312² = 161862647548226688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284484311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 267093 + ... + 268155.

It is an arithmetic number, because the mean of its divisors is an integer number (5793480).

Almost surely, 2^284484312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284484312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463478400).

284484312 is an abundant number, since it is smaller than the sum of its proper divisors (642472488).

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

284484312 is a wasteful number, since it uses less digits than its factorization.

284484312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1134 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 284484312 is about 16866.6627404475. The cubic root of 284484312 is about 657.6872772966.

The spelling of 284484312 in words is "two hundred eighty-four million, four hundred eighty-four thousand, three hundred twelve".