1230356400 has 480 divisors, whose sum is σ = 5114672640. Its totient is φ = 245514240.

The previous prime is 1230356389. The next prime is 1230356401. The reversal of 1230356400 is 46530321.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1230356401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2074504 + ... + 2075096.

It is an arithmetic number, because the mean of its divisors is an integer number (10655568).

Almost surely, 2^1230356400 is an apocalyptic number.

1230356400 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 1230356400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557336320).

1230356400 is an abundant number, since it is smaller than the sum of its proper divisors (3884316240).

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

1230356400 is a wasteful number, since it uses less digits than its factorization.

1230356400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1230356400 is about 35076.4365350872. The cubic root of 1230356400 is about 1071.5447452442.

Adding to 1230356400 its reverse (46530321), we get a palindrome (1276886721).

The spelling of 1230356400 in words is "one billion, two hundred thirty million, three hundred fifty-six thousand, four hundred".