233448840 has 192 divisors, whose sum is σ = 800280000. Its totient is φ = 58931712.

The previous prime is 233448823. The next prime is 233448857. The reversal of 233448840 is 48844332.

It is an interprime number because it is at equal distance from previous prime (233448823) and next prime (233448857).

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 = 233448795 and 233448804.

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 47 ways as a sum of consecutive naturals, for example, 615771 + ... + 616149.

It is an arithmetic number, because the mean of its divisors is an integer number (4168125).

Almost surely, 2^233448840 is an apocalyptic number.

233448840 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 233448840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400140000).

233448840 is an abundant number, since it is smaller than the sum of its proper divisors (566831160).

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

233448840 is a wasteful number, since it uses less digits than its factorization.

233448840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 233448840 is about 15279.0326918951. The cubic root of 233448840 is about 615.7398195657.

The spelling of 233448840 in words is "two hundred thirty-three million, four hundred forty-eight thousand, eight hundred forty".