284482440 has 288 divisors, whose sum is σ = 1069848000. Its totient is φ = 65007360.

The previous prime is 284482427. The next prime is 284482441. The reversal of 284482440 is 44284482.

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

It is a junction number, because it is equal to n+sod(n) for n = 284482395 and 284482404.

It is not an unprimeable number, because it can be changed into a prime (284482441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1429461 + ... + 1429659.

It is an arithmetic number, because the mean of its divisors is an integer number (3714750).

Almost surely, 2^284482440 is an apocalyptic number.

284482440 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 284482440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534924000).

284482440 is an abundant number, since it is smaller than the sum of its proper divisors (785365560).

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

284482440 is a wasteful number, since it uses less digits than its factorization.

284482440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 284482440 is about 16866.6072462721. The cubic root of 284482440 is about 657.6858346941.

The spelling of 284482440 in words is "two hundred eighty-four million, four hundred eighty-two thousand, four hundred forty".