233674480 has 80 divisors (see below), whose sum is σ = 610585920. Its totient is φ = 82520064.

The previous prime is 233674453. The next prime is 233674487. The reversal of 233674480 is 84476332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233674487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19036 + ... + 28804.

It is an arithmetic number, because the mean of its divisors is an integer number (7632324).

Almost surely, 2^233674480 is an apocalyptic number.

233674480 is a gapful number since it is divisible by the number (20) 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 233674480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305292960).

233674480 is an abundant number, since it is smaller than the sum of its proper divisors (376911440).

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

233674480 is a wasteful number, since it uses less digits than its factorization.

233674480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9818 (or 9812 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 233674480 is about 15286.4148838111. The cubic root of 233674480 is about 615.9381368133.

The spelling of 233674480 in words is "two hundred thirty-three million, six hundred seventy-four thousand, four hundred eighty".