1409696000 has 72 divisors (see below), whose sum is σ = 3511808664. Its totient is φ = 563865600.

The previous prime is 1409695999. The next prime is 1409696023. The reversal of 1409696000 is 6969041.

It can be written as a sum of positive squares in 4 ways, for example, as 12730624 + 1396965376 = 3568^2 + 37376^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9974 + ... + 54026.

Almost surely, 2^1409696000 is an apocalyptic number.

1409696000 is a gapful number since it is divisible by the number (10) 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 1409696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755904332).

1409696000 is an abundant number, since it is smaller than the sum of its proper divisors (2102112664).

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

1409696000 is an frugal number, since it uses more digits than its factorization.

1409696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44084 (or 44060 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 1409696000 is about 37545.9185531530. The cubic root of 1409696000 is about 1121.2655761899.

The spelling of 1409696000 in words is "one billion, four hundred nine million, six hundred ninety-six thousand".