1399785400 has 96 divisors (see below), whose sum is σ = 3521649600. Its totient is φ = 514368000.

The previous prime is 1399785397. The next prime is 1399785419. The reversal of 1399785400 is 45879931.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594225 + ... + 596575.

It is an arithmetic number, because the mean of its divisors is an integer number (36683850).

Almost surely, 2^1399785400 is an apocalyptic number.

1399785400 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 1399785400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760824800).

1399785400 is an abundant number, since it is smaller than the sum of its proper divisors (2121864200).

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

1399785400 is a wasteful number, since it uses less digits than its factorization.

1399785400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 1399785400 is about 37413.7060447104. The cubic root of 1399785400 is about 1118.6317794827.

The spelling of 1399785400 in words is "one billion, three hundred ninety-nine million, seven hundred eighty-five thousand, four hundred".