1431484768 has 96 divisors (see below), whose sum is σ = 3343915008. Its totient is φ = 590284800.

The previous prime is 1431484759. The next prime is 1431484777. The reversal of 1431484768 is 8674841341.

It is an interprime number because it is at equal distance from previous prime (1431484759) and next prime (1431484777).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464696 + ... + 1465672.

It is an arithmetic number, because the mean of its divisors is an integer number (34832448).

Almost surely, 2^1431484768 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 1431484768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671957504).

1431484768 is an abundant number, since it is smaller than the sum of its proper divisors (1912430240).

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

1431484768 is a wasteful number, since it uses less digits than its factorization.

1431484768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1228 counting only the distinct ones).

The product of its digits is 516096, while the sum is 46.

The square root of 1431484768 is about 37834.9675300508. The cubic root of 1431484768 is about 1127.0129604767.

The spelling of 1431484768 in words is "one billion, four hundred thirty-one million, four hundred eighty-four thousand, seven hundred sixty-eight".