235402400 has 144 divisors (see below), whose sum is σ = 641208960. Its totient is φ = 83865600.

The previous prime is 235402393. The next prime is 235402429. The reversal of 235402400 is 4204532.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257945 + ... + 258855.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^235402400 is an apocalyptic number.

235402400 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 235402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320604480).

235402400 is an abundant number, since it is smaller than the sum of its proper divisors (405806560).

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

235402400 is a wasteful number, since it uses less digits than its factorization.

235402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 235402400 is about 15342.8289438421. The cubic root of 235402400 is about 617.4526071797.

Adding to 235402400 its reverse (4204532), we get a palindrome (239606932).

The spelling of 235402400 in words is "two hundred thirty-five million, four hundred two thousand, four hundred".