1430213200 has 90 divisors (see below), whose sum is σ = 3720909354. Its totient is φ = 528053760.

The previous prime is 1430213189. The next prime is 1430213203. The reversal of 1430213200 is 23120341.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 1275061264 + 155151936 = 35708^2 + 12456^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430213203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57022 + ... + 78178.

Almost surely, 2^1430213200 is an apocalyptic number.

1430213200 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 1430213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860454677).

1430213200 is an abundant number, since it is smaller than the sum of its proper divisors (2290696154).

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

1430213200 is a wasteful number, since it uses less digits than its factorization.

1430213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21201 (or 21177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1430213200 is about 37818.1596590844. The cubic root of 1430213200 is about 1126.6791583099.

Adding to 1430213200 its reverse (23120341), we get a palindrome (1453333541).

The spelling of 1430213200 in words is "one billion, four hundred thirty million, two hundred thirteen thousand, two hundred".