233407680 has 336 divisors, whose sum is σ = 871679232. Its totient is φ = 52377600.

The previous prime is 233407651. The next prime is 233407709. The reversal of 233407680 is 86704332.

It is an interprime number because it is at equal distance from previous prime (233407651) and next prime (233407709).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7529265 + ... + 7529295.

Almost surely, 2^233407680 is an apocalyptic number.

233407680 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 233407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435839616).

233407680 is an abundant number, since it is smaller than the sum of its proper divisors (638271552).

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

233407680 is a wasteful number, since it uses less digits than its factorization.

233407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 233407680 is about 15277.6856886113. The cubic root of 233407680 is about 615.7036298512.

The spelling of 233407680 in words is "two hundred thirty-three million, four hundred seven thousand, six hundred eighty".