23270400 has 198 divisors, whose sum is σ = 84143982. Its totient is φ = 6144000.

The previous prime is 23270389. The next prime is 23270413. The reversal of 23270400 is 407232.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6230016 + 17040384 = 2496^2 + 4128^2 .

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 (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230350 + ... + 230450.

Almost surely, 2^23270400 is an apocalyptic number.

23270400 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 23270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42071991).

23270400 is an abundant number, since it is smaller than the sum of its proper divisors (60873582).

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

23270400 is a wasteful number, since it uses less digits than its factorization.

23270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 23270400 is about 4823.9402981380. The cubic root of 23270400 is about 285.4968250061.

Adding to 23270400 its reverse (407232), we get a palindrome (23677632).

The spelling of 23270400 in words is "twenty-three million, two hundred seventy thousand, four hundred".