1409731456 has 128 divisors (see below), whose sum is σ = 3402524160. Its totient is φ = 568719360.

The previous prime is 1409731451. The next prime is 1409731459. The reversal of 1409731456 is 6541379041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409731451) 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 15 ways as a sum of consecutive naturals, for example, 1380226 + ... + 1381246.

It is an arithmetic number, because the mean of its divisors is an integer number (26582220).

Almost surely, 2^1409731456 is an apocalyptic number.

1409731456 is a gapful number since it is divisible by the number (16) 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 1409731456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701262080).

1409731456 is an abundant number, since it is smaller than the sum of its proper divisors (1992792704).

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

1409731456 is a wasteful number, since it uses less digits than its factorization.

1409731456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 1409731456 is about 37546.3907186829. The cubic root of 1409731456 is about 1121.2749766230.

The spelling of 1409731456 in words is "one billion, four hundred nine million, seven hundred thirty-one thousand, four hundred fifty-six".