1213430400 has 576 divisors, whose sum is σ = 5340491520. Its totient is φ = 255467520.

The previous prime is 1213430381. The next prime is 1213430431. The reversal of 1213430400 is 40343121.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2620569 + ... + 2621031.

Almost surely, 2^1213430400 is an apocalyptic number.

1213430400 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 1213430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670245760).

1213430400 is an abundant number, since it is smaller than the sum of its proper divisors (4127061120).

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

1213430400 is a wasteful number, since it uses less digits than its factorization.

1213430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 493 counting only the distinct ones).

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

The square root of 1213430400 is about 34834.3278964874. The cubic root of 1213430400 is about 1066.6082954169.

Adding to 1213430400 its reverse (40343121), we get a palindrome (1253773521).

The spelling of 1213430400 in words is "one billion, two hundred thirteen million, four hundred thirty thousand, four hundred".