235146240 has 396 divisors, whose sum is σ = 966937296. Its totient is φ = 53747712.

The previous prime is 235146229. The next prime is 235146269. The reversal of 235146240 is 42641532.

It is a Jordan-Polya number, since it can be written as 7! ⋅ (3!)⁶.

235146240 is a `hidden beast` number, since 2 + 35 + 1 + 4 + 624 + 0 = 666.

It is a super-2 number, since 2×235146240² = 110587508372275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33592317 + ... + 33592323.

Almost surely, 2^235146240 is an apocalyptic number.

235146240 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 235146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483468648).

235146240 is an abundant number, since it is smaller than the sum of its proper divisors (731791056).

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

235146240 is an frugal number, since it uses more digits than its factorization.

235146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 235146240 is about 15334.4787977942. The cubic root of 235146240 is about 617.2285595266.

Adding to 235146240 its reverse (42641532), we get a palindrome (277787772).

The spelling of 235146240 in words is "two hundred thirty-five million, one hundred forty-six thousand, two hundred forty".