284030964 has 72 divisors (see below), whose sum is σ = 838027008. Its totient is φ = 79421760.

The previous prime is 284030939. The next prime is 284030983. The reversal of 284030964 is 469030482.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147 + ... + 23834.

It is an arithmetic number, because the mean of its divisors is an integer number (11639264).

Almost surely, 2^284030964 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 284030964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419013504).

284030964 is an abundant number, since it is smaller than the sum of its proper divisors (553996044).

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

284030964 is a wasteful number, since it uses less digits than its factorization.

284030964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24045 (or 24040 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 284030964 is about 16853.2182089950. The cubic root of 284030964 is about 657.3377328511.

The spelling of 284030964 in words is "two hundred eighty-four million, thirty thousand, nine hundred sixty-four".