233407440 has 320 divisors, whose sum is σ = 942796800. Its totient is φ = 51964416.

The previous prime is 233407429. The next prime is 233407441. The reversal of 233407440 is 44704332.

233407440 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233407441) 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, 649981 + ... + 650339.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240).

Almost surely, 2^233407440 is an apocalyptic number.

233407440 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 233407440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471398400).

233407440 is an abundant number, since it is smaller than the sum of its proper divisors (709389360).

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

233407440 is a wasteful number, since it uses less digits than its factorization.

233407440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 233407440 is about 15277.6778340165. The cubic root of 233407440 is about 615.7034188200.

The spelling of 233407440 in words is "two hundred thirty-three million, four hundred seven thousand, four hundred forty".