233474760 has 96 divisors (see below), whose sum is σ = 762840000. Its totient is φ = 61928064.

The previous prime is 233474743. The next prime is 233474789. The reversal of 233474760 is 67474332.

It is a happy number.

233474760 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 70011 + ... + 73269.

It is an arithmetic number, because the mean of its divisors is an integer number (7946250).

Almost surely, 2^233474760 is an apocalyptic number.

233474760 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 233474760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381420000).

233474760 is an abundant number, since it is smaller than the sum of its proper divisors (529365240).

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

233474760 is a wasteful number, since it uses less digits than its factorization.

233474760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 233474760 is about 15279.8808895881. The cubic root of 233474760 is about 615.7626074072.

The spelling of 233474760 in words is "two hundred thirty-three million, four hundred seventy-four thousand, seven hundred sixty".