1409317272 has 512 divisors, whose sum is σ = 4964198400. Its totient is φ = 364953600.

The previous prime is 1409317271. The next prime is 1409317279. The reversal of 1409317272 is 2727139041.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409317271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34373572 + ... + 34373612.

It is an arithmetic number, because the mean of its divisors is an integer number (9695700).

Almost surely, 2^1409317272 is an apocalyptic number.

1409317272 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 1409317272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482099200).

1409317272 is an abundant number, since it is smaller than the sum of its proper divisors (3554881128).

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

1409317272 is a wasteful number, since it uses less digits than its factorization.

1409317272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1409317272 is about 37540.8746834700. The cubic root of 1409317272 is about 1121.1651543722.

The spelling of 1409317272 in words is "one billion, four hundred nine million, three hundred seventeen thousand, two hundred seventy-two".