1392916800 has 672 divisors, whose sum is σ = 5515075584. Its totient is φ = 304128000.

The previous prime is 1392916793. The next prime is 1392916817. The reversal of 1392916800 is 86192931.

It is a congruent number.

It is an unprimeable number.

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, 37646382 + ... + 37646418.

Almost surely, 2^1392916800 is an apocalyptic number.

1392916800 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 1392916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757537792).

1392916800 is an abundant number, since it is smaller than the sum of its proper divisors (4122158784).

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

1392916800 is a wasteful number, since it uses less digits than its factorization.

1392916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 1392916800 is about 37321.8005996495. The cubic root of 1392916800 is about 1116.7991090652.

The spelling of 1392916800 in words is "one billion, three hundred ninety-two million, nine hundred sixteen thousand, eight hundred".