233706480 has 320 divisors, whose sum is σ = 899942400. Its totient is φ = 49975296.

The previous prime is 233706461. The next prime is 233706481. The reversal of 233706480 is 84607332.

233706480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233706481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1399357 + ... + 1399523.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^233706480 is an apocalyptic number.

233706480 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 233706480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449971200).

233706480 is an abundant number, since it is smaller than the sum of its proper divisors (666235920).

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

233706480 is a wasteful number, since it uses less digits than its factorization.

233706480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

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

The square root of 233706480 is about 15287.4615289786. The cubic root of 233706480 is about 615.9662515946.

The spelling of 233706480 in words is "two hundred thirty-three million, seven hundred six thousand, four hundred eighty".