233438940 has 288 divisors, whose sum is σ = 873600000. Its totient is φ = 50295168.

The previous prime is 233438929. The next prime is 233438971. The reversal of 233438940 is 49834332.

It is a happy number.

233438940 is a `hidden beast` number, since 233 + 4 + 389 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 233438895 and 233438904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1172961 + ... + 1173159.

Almost surely, 2^233438940 is an apocalyptic number.

233438940 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 233438940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436800000).

233438940 is an abundant number, since it is smaller than the sum of its proper divisors (640161060).

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

233438940 is a wasteful number, since it uses less digits than its factorization.

233438940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 233438940 is about 15278.7087150714. The cubic root of 233438940 is about 615.7311154311.

The spelling of 233438940 in words is "two hundred thirty-three million, four hundred thirty-eight thousand, nine hundred forty".