1409621328 has 120 divisors (see below), whose sum is σ = 4181060520. Its totient is φ = 442552320.

The previous prime is 1409621327. The next prime is 1409621329. The reversal of 1409621328 is 8231269041.

1409621328 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 621 + 3 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (1409621327) and next prime (1409621329).

It can be written as a sum of positive squares in 4 ways, for example, as 2471184 + 1407150144 = 1572^2 + 37512^2 .

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 = 1409621292 and 1409621301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409621327) 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 23 ways as a sum of consecutive naturals, for example, 167100 + ... + 175332.

It is an arithmetic number, because the mean of its divisors is an integer number (34842171).

Almost surely, 2^1409621328 is an apocalyptic number.

1409621328 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 1409621328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090530260).

1409621328 is an abundant number, since it is smaller than the sum of its proper divisors (2771439192).

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

1409621328 is a wasteful number, since it uses less digits than its factorization.

1409621328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8317 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1409621328 is about 37544.9241309661. The cubic root of 1409621328 is about 1121.2457779210.

The spelling of 1409621328 in words is "one billion, four hundred nine million, six hundred twenty-one thousand, three hundred twenty-eight".