233436480 has 112 divisors (see below), whose sum is σ = 751539264. Its totient is φ = 61378560.

The previous prime is 233436473. The next prime is 233436521. The reversal of 233436480 is 84634332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68415 + ... + 71745.

It is an arithmetic number, because the mean of its divisors is an integer number (6710172).

Almost surely, 2^233436480 is an apocalyptic number.

233436480 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 233436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375769632).

233436480 is an abundant number, since it is smaller than the sum of its proper divisors (518102784).

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

233436480 is a wasteful number, since it uses less digits than its factorization.

233436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 233436480 is about 15278.6282106739. The cubic root of 233436480 is about 615.7289525473.

The spelling of 233436480 in words is "two hundred thirty-three million, four hundred thirty-six thousand, four hundred eighty".