1230442400 has 144 divisors (see below), whose sum is σ = 3366347040. Its totient is φ = 435225600.

The previous prime is 1230442397. The next prime is 1230442457. The reversal of 1230442400 is 42440321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323711 + ... + 327489.

It is an arithmetic number, because the mean of its divisors is an integer number (23377410).

Almost surely, 2^1230442400 is an apocalyptic number.

1230442400 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 1230442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683173520).

1230442400 is an abundant number, since it is smaller than the sum of its proper divisors (2135904640).

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

1230442400 is a wasteful number, since it uses less digits than its factorization.

1230442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1230442400 is about 35077.6624078629. The cubic root of 1230442400 is about 1071.5697110999.

Adding to 1230442400 its reverse (42440321), we get a palindrome (1272882721).

The spelling of 1230442400 in words is "one billion, two hundred thirty million, four hundred forty-two thousand, four hundred".