1328473440 has 384 divisors, whose sum is σ = 5364817920. Its totient is φ = 300754944.

The previous prime is 1328473409. The next prime is 1328473451. The reversal of 1328473440 is 443748231.

1328473440 is a `hidden beast` number, since 132 + 84 + 7 + 3 + 440 = 666.

1328473440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 1328473395 and 1328473404.

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, 5957169 + ... + 5957391.

It is an arithmetic number, because the mean of its divisors is an integer number (13970880).

Almost surely, 2^1328473440 is an apocalyptic number.

1328473440 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 1328473440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682408960).

1328473440 is an abundant number, since it is smaller than the sum of its proper divisors (4036344480).

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

1328473440 is a wasteful number, since it uses less digits than its factorization.

1328473440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1328473440 is about 36448.2295866342. The cubic root of 1328473440 is about 1099.3035370903.

The spelling of 1328473440 in words is "one billion, three hundred twenty-eight million, four hundred seventy-three thousand, four hundred forty".