1431030400 has 48 divisors (see below), whose sum is σ = 3535100190. Its totient is φ = 572410880.

The previous prime is 1431030383. The next prime is 1431030407. The reversal of 1431030400 is 40301341.

It can be written as a sum of positive squares in 3 ways, for example, as 569490496 + 861539904 = 23864^2 + 29352^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1431030407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 220399 + ... + 226798.

Almost surely, 2^1431030400 is an apocalyptic number.

1431030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1431030400 is an abundant number, since it is smaller than the sum of its proper divisors (2104069790).

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

1431030400 is an equidigital number, since it uses as much as digits as its factorization.

1431030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447221 (or 447204 counting only the distinct ones).

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

The square root of 1431030400 is about 37828.9624494249. The cubic root of 1431030400 is about 1126.8937060202.

Adding to 1431030400 its reverse (40301341), we get a palindrome (1471331741).

The spelling of 1431030400 in words is "one billion, four hundred thirty-one million, thirty thousand, four hundred".