284825420 has 48 divisors (see below), whose sum is σ = 656964000. Its totient is φ = 102865920.

The previous prime is 284825419. The next prime is 284825441. The reversal of 284825420 is 24528482.

It is a super-2 number, since 2×284825420² = 162251039756352800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28436 + ... + 37124.

It is an arithmetic number, because the mean of its divisors is an integer number (13686750).

Almost surely, 2^284825420 is an apocalyptic number.

284825420 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 284825420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328482000).

284825420 is an abundant number, since it is smaller than the sum of its proper divisors (372138580).

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

284825420 is a wasteful number, since it uses less digits than its factorization.

284825420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8858 (or 8856 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The square root of 284825420 is about 16876.7716107080. The cubic root of 284825420 is about 657.9500367023.

The spelling of 284825420 in words is "two hundred eighty-four million, eight hundred twenty-five thousand, four hundred twenty".