235448640 has 448 divisors, whose sum is σ = 1009497600. Its totient is φ = 50429952.

The previous prime is 235448599. The next prime is 235448669. The reversal of 235448640 is 46844532.

235448640 is a `hidden beast` number, since 2 + 3 + 5 + 4 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×235448640³ (a number of 26 digits) contains 333 as substring.

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 = 235448595 and 235448604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1028046 + ... + 1028274.

Almost surely, 2^235448640 is an apocalyptic number.

235448640 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 235448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504748800).

235448640 is an abundant number, since it is smaller than the sum of its proper divisors (774048960).

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

235448640 is a wasteful number, since it uses less digits than its factorization.

235448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 235448640 is about 15344.3357627497. The cubic root of 235448640 is about 617.4930331897.

The spelling of 235448640 in words is "two hundred thirty-five million, four hundred forty-eight thousand, six hundred forty".