284829696 has 240 divisors, whose sum is σ = 909728820. Its totient is φ = 88473600.

The previous prime is 284829691. The next prime is 284829697. The reversal of 284829696 is 696928482.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 232989696 + 51840000 = 15264^2 + 7200^2 .

It is a super-2 number, since 2×284829696² = 162255911446904832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (284829691) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2820046 + ... + 2820146.

Almost surely, 2^284829696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454864410).

284829696 is an abundant number, since it is smaller than the sum of its proper divisors (624899124).

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

284829696 is a wasteful number, since it uses less digits than its factorization.

284829696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 123 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 284829696 is about 16876.8982932291. The cubic root of 284829696 is about 657.9533292225.

The spelling of 284829696 in words is "two hundred eighty-four million, eight hundred twenty-nine thousand, six hundred ninety-six".