235509840 has 240 divisors, whose sum is σ = 852374016. Its totient is φ = 58060800.

The previous prime is 235509797. The next prime is 235509851. The reversal of 235509840 is 48905532.

235509840 is a `hidden beast` number, since 23 + 550 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 235509795 and 235509804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868905 + ... + 869175.

Almost surely, 2^235509840 is an apocalyptic number.

235509840 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 235509840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426187008).

235509840 is an abundant number, since it is smaller than the sum of its proper divisors (616864176).

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

235509840 is a wasteful number, since it uses less digits than its factorization.

235509840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 235509840 is about 15346.3298543984. The cubic root of 235509840 is about 617.5465300653.

The spelling of 235509840 in words is "two hundred thirty-five million, five hundred nine thousand, eight hundred forty".