284806464 has 112 divisors (see below), whose sum is σ = 791309568. Its totient is φ = 90298368.

The previous prime is 284806429. The next prime is 284806469. The reversal of 284806464 is 464608482.

It is a super-2 number, since 2×284806464² = 162229443872366592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284806469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333462 + ... + 334314.

It is an arithmetic number, because the mean of its divisors is an integer number (7065264).

Almost surely, 2^284806464 is an apocalyptic number.

284806464 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 284806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395654784).

284806464 is an abundant number, since it is smaller than the sum of its proper divisors (506503104).

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

284806464 is a wasteful number, since it uses less digits than its factorization.

284806464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 284806464 is about 16876.2100010636. The cubic root of 284806464 is about 657.9354401849.

The spelling of 284806464 in words is "two hundred eighty-four million, eight hundred six thousand, four hundred sixty-four".