1230400000 has 120 divisors (see below), whose sum is σ = 3076795260. Its totient is φ = 491520000.

The previous prime is 1230399977. The next prime is 1230400021. The reversal of 1230400000 is 40321.

It can be written as a sum of positive squares in 6 ways, for example, as 195105024 + 1035294976 = 13968^2 + 32176^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 1230400000.

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 11 ways as a sum of consecutive naturals, for example, 1599616 + ... + 1600384.

Almost surely, 2^1230400000 is an apocalyptic number.

1230400000 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 1230400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538397630).

1230400000 is an abundant number, since it is smaller than the sum of its proper divisors (1846395260).

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

1230400000 is an frugal number, since it uses more digits than its factorization.

1230400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1230400000 is about 35077.0580294300. The cubic root of 1230400000 is about 1071.5574024978.

Adding to 1230400000 its reverse (40321), we get a palindrome (1230440321).

The spelling of 1230400000 in words is "one billion, two hundred thirty million, four hundred thousand".