235800840 has 128 divisors (see below), whose sum is σ = 790715520. Its totient is φ = 55756800.

The previous prime is 235800839. The next prime is 235800847. The reversal of 235800840 is 48008532.

It is a super-3 number, since 3×235800840³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 235800798 and 235800807.

It is not an unprimeable number, because it can be changed into a prime (235800847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51942 + ... + 56298.

It is an arithmetic number, because the mean of its divisors is an integer number (6177465).

Almost surely, 2^235800840 is an apocalyptic number.

235800840 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 235800840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395357760).

235800840 is an abundant number, since it is smaller than the sum of its proper divisors (554914680).

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

235800840 is a wasteful number, since it uses less digits than its factorization.

235800840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 235800840 is about 15355.8080217226. The cubic root of 235800840 is about 617.8007757408.

The spelling of 235800840 in words is "two hundred thirty-five million, eight hundred thousand, eight hundred forty".