235130400 has 324 divisors, whose sum is σ = 888564222. Its totient is φ = 58490880.

The previous prime is 235130393. The next prime is 235130411. The reversal of 235130400 is 4031532.

235130400 is a `hidden beast` number, since 235 + 1 + 30 + 400 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 11209104 + 223921296 = 3348^2 + 14964^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2080744 + ... + 2080856.

Almost surely, 2^235130400 is an apocalyptic number.

235130400 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 235130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444282111).

235130400 is an abundant number, since it is smaller than the sum of its proper divisors (653433822).

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

235130400 is a wasteful number, since it uses less digits than its factorization.

235130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 235130400 is about 15333.9623059404. The cubic root of 235130400 is about 617.2146998962.

Adding to 235130400 its reverse (4031532), we get a palindrome (239161932).

The spelling of 235130400 in words is "two hundred thirty-five million, one hundred thirty thousand, four hundred".