1392968304 has 480 divisors, whose sum is σ = 5248414080. Its totient is φ = 336420864.

The previous prime is 1392968279. The next prime is 1392968309. The reversal of 1392968304 is 4038692931.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1392968304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1392968309) 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 95 ways as a sum of consecutive naturals, for example, 37647774 + ... + 37647810.

It is an arithmetic number, because the mean of its divisors is an integer number (10934196).

Almost surely, 2^1392968304 is an apocalyptic number.

1392968304 is a gapful number since it is divisible by the number (14) 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 1392968304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624207040).

1392968304 is an abundant number, since it is smaller than the sum of its proper divisors (3855445776).

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

1392968304 is a wasteful number, since it uses less digits than its factorization.

1392968304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1392968304 is about 37322.4905921349. The cubic root of 1392968304 is about 1116.8128736854.

The spelling of 1392968304 in words is "one billion, three hundred ninety-two million, nine hundred sixty-eight thousand, three hundred four".