23450400 has 108 divisors (see below), whose sum is σ = 82717362. Its totient is φ = 6251520.

The previous prime is 23450387. The next prime is 23450417. The reversal of 23450400 is 405432.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 20903184 + 2547216 = 4572^2 + 1596^2 .

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 17 ways as a sum of consecutive naturals, for example, 5572 + ... + 8828.

Almost surely, 2^23450400 is an apocalyptic number.

23450400 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 23450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41358681).

23450400 is an abundant number, since it is smaller than the sum of its proper divisors (59266962).

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

23450400 is a wasteful number, since it uses less digits than its factorization.

23450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283 (or 3267 counting only the distinct ones).

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

The square root of 23450400 is about 4842.5613057555. The cubic root of 23450400 is about 286.2310552351.

Adding to 23450400 its reverse (405432), we get a palindrome (23855832).

The spelling of 23450400 in words is "twenty-three million, four hundred fifty thousand, four hundred".