235770240 has 256 divisors, whose sum is σ = 828403200. Its totient is φ = 56770560.

The previous prime is 235770239. The next prime is 235770251. The reversal of 235770240 is 42077532.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 235770198 and 235770207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 838900 + ... + 839180.

It is an arithmetic number, because the mean of its divisors is an integer number (3235950).

Almost surely, 2^235770240 is an apocalyptic number.

235770240 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 235770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414201600).

235770240 is an abundant number, since it is smaller than the sum of its proper divisors (592632960).

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

235770240 is a wasteful number, since it uses less digits than its factorization.

235770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 235770240 is about 15354.8116237224. The cubic root of 235770240 is about 617.7740504733.

The spelling of 235770240 in words is "two hundred thirty-five million, seven hundred seventy thousand, two hundred forty".