233473240 has 320 divisors, whose sum is σ = 762320160. Its totient is φ = 63221760.

The previous prime is 233473237. The next prime is 233473267. The reversal of 233473240 is 42374332.

233473240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 233473199 and 233473208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13733712 + ... + 13733728.

Almost surely, 2^233473240 is an apocalyptic number.

233473240 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 233473240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381160080).

233473240 is an abundant number, since it is smaller than the sum of its proper divisors (528846920).

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

233473240 is a wasteful number, since it uses less digits than its factorization.

233473240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 28.

The square root of 233473240 is about 15279.8311508995. The cubic root of 233473240 is about 615.7612711297.

The spelling of 233473240 in words is "two hundred thirty-three million, four hundred seventy-three thousand, two hundred forty".