1431478272 has 224 divisors, whose sum is σ = 4472952192. Its totient is φ = 398721024.

The previous prime is 1431478261. The next prime is 1431478273. The reversal of 1431478272 is 2728741341.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1431478272.

It is not an unprimeable number, because it can be changed into a prime (1431478273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9117618 + ... + 9117774.

Almost surely, 2^1431478272 is an apocalyptic number.

1431478272 is a gapful number since it is divisible by the number (12) 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 1431478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236476096).

1431478272 is an abundant number, since it is smaller than the sum of its proper divisors (3041473920).

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

1431478272 is an equidigital number, since it uses as much as digits as its factorization.

1431478272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 222 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 1431478272 is about 37834.8816834413. The cubic root of 1431478272 is about 1127.0112556997.

The spelling of 1431478272 in words is "one billion, four hundred thirty-one million, four hundred seventy-eight thousand, two hundred seventy-two".