1213436400 has 360 divisors, whose sum is σ = 4374272112. Its totient is φ = 287232000.

The previous prime is 1213436383. The next prime is 1213436407. The reversal of 1213436400 is 46343121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213436407) 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 71 ways as a sum of consecutive naturals, for example, 8857132 + ... + 8857268.

Almost surely, 2^1213436400 is an apocalyptic number.

1213436400 is a gapful number since it is divisible by the number (10) 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 1213436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187136056).

1213436400 is an abundant number, since it is smaller than the sum of its proper divisors (3160835712).

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

1213436400 is a wasteful number, since it uses less digits than its factorization.

1213436400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1213436400 is about 34834.4140183239. The cubic root of 1213436400 is about 1066.6100534189.

Adding to 1213436400 its reverse (46343121), we get a palindrome (1259779521).

The spelling of 1213436400 in words is "one billion, two hundred thirteen million, four hundred thirty-six thousand, four hundred".