235040400 has 240 divisors, whose sum is σ = 956387200. Its totient is φ = 53706240.

The previous prime is 235040371. The next prime is 235040411. The reversal of 235040400 is 4040532.

It is a happy number.

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

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

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 47 ways as a sum of consecutive naturals, for example, 74046 + ... + 77154.

Almost surely, 2^235040400 is an apocalyptic number.

235040400 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 235040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478193600).

235040400 is an abundant number, since it is smaller than the sum of its proper divisors (721346800).

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

235040400 is a wasteful number, since it uses less digits than its factorization.

235040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 235040400 is about 15331.0273628351. The cubic root of 235040400 is about 617.1359401782.

Adding to 235040400 its reverse (4040532), we get a palindrome (239080932).

The spelling of 235040400 in words is "two hundred thirty-five million, forty thousand, four hundred".