233793480 has 192 divisors, whose sum is σ = 769147200. Its totient is φ = 56678400.

The previous prime is 233793457. The next prime is 233793481. The reversal of 233793480 is 84397332.

It is not an unprimeable number, because it can be changed into a prime (233793481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3832650 + ... + 3832710.

It is an arithmetic number, because the mean of its divisors is an integer number (4005975).

Almost surely, 2^233793480 is an apocalyptic number.

233793480 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 233793480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384573600).

233793480 is an abundant number, since it is smaller than the sum of its proper divisors (535353720).

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

233793480 is a wasteful number, since it uses less digits than its factorization.

233793480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 233793480 is about 15290.3067333523. The cubic root of 233793480 is about 616.0426756851.

The spelling of 233793480 in words is "two hundred thirty-three million, seven hundred ninety-three thousand, four hundred eighty".