1431397968 has 320 divisors, whose sum is σ = 5130338304. Its totient is φ = 332121600.

The previous prime is 1431397963. The next prime is 1431397991. The reversal of 1431397968 is 8697931341.

It is a self number, because there is not a number n which added to its sum of digits gives 1431397968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431397963) 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 63 ways as a sum of consecutive naturals, for example, 46174113 + ... + 46174143.

Almost surely, 2^1431397968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431397968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565169152).

1431397968 is an abundant number, since it is smaller than the sum of its proper divisors (3698940336).

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

1431397968 is a wasteful number, since it uses less digits than its factorization.

1431397968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 67 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 1431397968 is about 37833.8204256456. The cubic root of 1431397968 is about 1126.9901807019.

The spelling of 1431397968 in words is "one billion, four hundred thirty-one million, three hundred ninety-seven thousand, nine hundred sixty-eight".