234835948440 has 512 divisors, whose sum is σ = 883332864000. Its totient is φ = 55830435840.

The previous prime is 234835948429. The next prime is 234835948441. The reversal of 234835948440 is 44849538432.

It is a happy number.

234835948440 is a `hidden beast` number, since 2 + 3 + 4 + 8 + 3 + 594 + 8 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234835948441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28251885 + ... + 28260195.

It is an arithmetic number, because the mean of its divisors is an integer number (1725259500).

Almost surely, 2^234835948440 is an apocalyptic number.

234835948440 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 234835948440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441666432000).

234835948440 is an abundant number, since it is smaller than the sum of its proper divisors (648496915560).

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

234835948440 is a wasteful number, since it uses less digits than its factorization.

234835948440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8379 (or 8357 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 234835948440 in words is "two hundred thirty-four billion, eight hundred thirty-five million, nine hundred forty-eight thousand, four hundred forty".