284332896 has 48 divisors (see below), whose sum is σ = 829306800. Its totient is φ = 94777344.

The previous prime is 284332861. The next prime is 284332897. The reversal of 284332896 is 698233482.

It is a tau number, because it is divible by the number of its divisors (48).

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 (284332897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163681 + ... + 165408.

It is an arithmetic number, because the mean of its divisors is an integer number (17277225).

Almost surely, 2^284332896 is an apocalyptic number.

It is an amenable number.

284332896 is an abundant number, since it is smaller than the sum of its proper divisors (544973904).

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

284332896 is a wasteful number, since it uses less digits than its factorization.

284332896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329108 (or 329094 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 284332896 is about 16862.1735253792. The cubic root of 284332896 is about 657.5705725017.

It can be divided in two parts, 28433 and 2896, that added together give a square (31329 = 177²).

The spelling of 284332896 in words is "two hundred eighty-four million, three hundred thirty-two thousand, eight hundred ninety-six".