284782420 has 48 divisors (see below), whose sum is σ = 653159808. Its totient is φ = 103662720.

The previous prime is 284782411. The next prime is 284782423. The reversal of 284782420 is 24287482.

It is a super-2 number, since 2×284782420² = 162202053482112800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 284782420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284782423) 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, 10747 + ... + 26173.

It is an arithmetic number, because the mean of its divisors is an integer number (13607496).

Almost surely, 2^284782420 is an apocalyptic number.

284782420 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 284782420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326579904).

284782420 is an abundant number, since it is smaller than the sum of its proper divisors (368377388).

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

284782420 is a wasteful number, since it uses less digits than its factorization.

284782420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15520 (or 15518 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 284782420 is about 16875.4976222925. The cubic root of 284782420 is about 657.9169248691.

The spelling of 284782420 in words is "two hundred eighty-four million, seven hundred eighty-two thousand, four hundred twenty".