233461284 has 72 divisors (see below), whose sum is σ = 667064160. Its totient is φ = 63189504.

The previous prime is 233461271. The next prime is 233461367. The reversal of 233461284 is 482164332.

233461284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×233461284² = 109008342253857312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724 + ... + 21620.

It is an arithmetic number, because the mean of its divisors is an integer number (9264780).

Almost surely, 2^233461284 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 233461284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333532080).

233461284 is an abundant number, since it is smaller than the sum of its proper divisors (433602876).

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

233461284 is a wasteful number, since it uses less digits than its factorization.

233461284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20937 (or 20928 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 233461284 is about 15279.4399112009. The cubic root of 233461284 is about 615.7507600501.

The spelling of 233461284 in words is "two hundred thirty-three million, four hundred sixty-one thousand, two hundred eighty-four".