233459466240 has 1440 divisors, whose sum is σ = 1022355565056. Its totient is φ = 44166021120.

The previous prime is 233459466223. The next prime is 233459466263. The reversal of 233459466240 is 42664954332.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 233459466240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3198074844 + ... + 3198074916.

Almost surely, 2^233459466240 is an apocalyptic number.

233459466240 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 233459466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511177782528).

233459466240 is an abundant number, since it is smaller than the sum of its proper divisors (788896098816).

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

233459466240 is a wasteful number, since it uses less digits than its factorization.

233459466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 233459466240 in words is "two hundred thirty-three billion, four hundred fifty-nine million, four hundred sixty-six thousand, two hundred forty".