1409804928 has 192 divisors, whose sum is σ = 4697222400. Its totient is φ = 397522944.

The previous prime is 1409804911. The next prime is 1409804947. The reversal of 1409804928 is 8294089041.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 635950 + ... + 638162.

It is an arithmetic number, because the mean of its divisors is an integer number (24464700).

Almost surely, 2^1409804928 is an apocalyptic number.

1409804928 is a gapful number since it is divisible by the number (18) 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 1409804928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348611200).

1409804928 is an abundant number, since it is smaller than the sum of its proper divisors (3287417472).

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

1409804928 is a wasteful number, since it uses less digits than its factorization.

1409804928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1409804928 is about 37547.3691222168. The cubic root of 1409804928 is about 1121.2944557192.

The spelling of 1409804928 in words is "one billion, four hundred nine million, eight hundred four thousand, nine hundred twenty-eight".