1430013200 has 240 divisors, whose sum is σ = 4433823360. Its totient is φ = 430080000.

The previous prime is 1430013199. The next prime is 1430013209. The reversal of 1430013200 is 23100341.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1430013209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 892400 + ... + 894000.

It is an arithmetic number, because the mean of its divisors is an integer number (18474264).

Almost surely, 2^1430013200 is an apocalyptic number.

1430013200 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 1430013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216911680).

1430013200 is an abundant number, since it is smaller than the sum of its proper divisors (3003810160).

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

1430013200 is a wasteful number, since it uses less digits than its factorization.

1430013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1430013200 is about 37815.5153343175. The cubic root of 1430013200 is about 1126.6266378567.

Adding to 1430013200 its reverse (23100341), we get a palindrome (1453113541).

The spelling of 1430013200 in words is "one billion, four hundred thirty million, thirteen thousand, two hundred".