1409401728 has 512 divisors, whose sum is σ = 5287680000. Its totient is φ = 360087552.

The previous prime is 1409401709. The next prime is 1409401733. The reversal of 1409401728 is 8271049041.

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

It is a junction number, because it is equal to n+sod(n) for n = 1409401692 and 1409401701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9458998 + ... + 9459146.

It is an arithmetic number, because the mean of its divisors is an integer number (10327500).

Almost surely, 2^1409401728 is an apocalyptic number.

1409401728 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 1409401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643840000).

1409401728 is an abundant number, since it is smaller than the sum of its proper divisors (3878278272).

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

1409401728 is a wasteful number, since it uses less digits than its factorization.

1409401728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1409401728 is about 37541.9995205370. Note that the first 3 decimals coincide. The cubic root of 1409401728 is about 1121.1875499049.

Adding to 1409401728 its sum of digits (36), we get a square (1409401764 = 37542²).

The spelling of 1409401728 in words is "one billion, four hundred nine million, four hundred one thousand, seven hundred twenty-eight".