1396946304 has 512 divisors, whose sum is σ = 4935168000. Its totient is φ = 384860160.

The previous prime is 1396946297. The next prime is 1396946333. The reversal of 1396946304 is 4036496931.

1396946304 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 9 + 4 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1396946304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23677027 + ... + 23677085.

It is an arithmetic number, because the mean of its divisors is an integer number (9639000).

Almost surely, 2^1396946304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1396946304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467584000).

1396946304 is an abundant number, since it is smaller than the sum of its proper divisors (3538221696).

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

1396946304 is a wasteful number, since it uses less digits than its factorization.

1396946304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 1396946304 is about 37375.7448621429. The cubic root of 1396946304 is about 1117.8749842877.

The spelling of 1396946304 in words is "one billion, three hundred ninety-six million, nine hundred forty-six thousand, three hundred four".