1223600400 has 405 divisors, whose sum is σ = 4757072047. Its totient is φ = 291033600.

The previous prime is 1223600369. The next prime is 1223600401. The reversal of 1223600400 is 40063221.

1223600400 = 1³ + 2³ + ... + 264³.

It is a happy number.

The square root of 1223600400 is 34980.

It is a perfect power (a square), and thus also a powerful number.

1223600400 is a `hidden beast` number, since 1 + 2 + 23 + 600 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9217296 + 1214383104 = 3036^2 + 34848^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1223600401) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 23086774 + ... + 23086826.

Almost surely, 2^1223600400 is an apocalyptic number.

1223600400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1223600400 is the 34980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223600400

1223600400 is an abundant number, since it is smaller than the sum of its proper divisors (3533471647).

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

1223600400 is a wasteful number, since it uses less digits than its factorization.

1223600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The cubic root of 1223600400 is about 1069.5798274565.

Adding to 1223600400 its reverse (40063221), we get a palindrome (1263663621).

The spelling of 1223600400 in words is "one billion, two hundred twenty-three million, six hundred thousand, four hundred".