235456144 has 80 divisors (see below), whose sum is σ = 571392000. Its totient is φ = 91313280.

The previous prime is 235456141. The next prime is 235456147. The reversal of 235456144 is 441654532.

235456144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (235456141) and next prime (235456147).

It is not an unprimeable number, because it can be changed into a prime (235456141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471607 + ... + 472105.

It is an arithmetic number, because the mean of its divisors is an integer number (7142400).

Almost surely, 2^235456144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235456144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285696000).

235456144 is an abundant number, since it is smaller than the sum of its proper divisors (335935856).

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

235456144 is a wasteful number, since it uses less digits than its factorization.

235456144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 902 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

The square root of 235456144 is about 15344.5802809982. The cubic root of 235456144 is about 617.4995931745.

The spelling of 235456144 in words is "two hundred thirty-five million, four hundred fifty-six thousand, one hundred forty-four".