233666480 has 20 divisors (see below), whose sum is σ = 543274752. Its totient is φ = 93466560.

The previous prime is 233666449. The next prime is 233666483. The reversal of 233666480 is 84666332.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (233666483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1460336 + ... + 1460495.

Almost surely, 2^233666480 is an apocalyptic number.

233666480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233666480 is an abundant number, since it is smaller than the sum of its proper divisors (309608272).

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

233666480 is a wasteful number, since it uses less digits than its factorization.

233666480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920844 (or 2920838 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The square root of 233666480 is about 15286.1532113217. The cubic root of 233666480 is about 615.9311077169.

The spelling of 233666480 in words is "two hundred thirty-three million, six hundred sixty-six thousand, four hundred eighty".