233744940 has 240 divisors, whose sum is σ = 862313760. Its totient is φ = 52254720.

The previous prime is 233744939. The next prime is 233745013. The reversal of 233744940 is 49447332.

233744940 is nontrivially palindromic in base 14.

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 = 233744895 and 233744904.

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, 231156 + ... + 232164.

It is an arithmetic number, because the mean of its divisors is an integer number (3592974).

Almost surely, 2^233744940 is an apocalyptic number.

233744940 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 233744940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431156880).

233744940 is an abundant number, since it is smaller than the sum of its proper divisors (628568820).

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

233744940 is a wasteful number, since it uses less digits than its factorization.

233744940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 233744940 is about 15288.7193708302. The cubic root of 233744940 is about 616.0000386518. Note that the first 4 decimals are identical.

The spelling of 233744940 in words is "two hundred thirty-three million, seven hundred forty-four thousand, nine hundred forty".