1397995200 has 840 divisors, whose sum is σ = 6219578112. Its totient is φ = 301086720.

The previous prime is 1397995171. The next prime is 1397995201. The reversal of 1397995200 is 25997931.

It is a happy number.

1397995200 is a `hidden beast` number, since 1 + 39 + 7 + 99 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1397995201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20865567 + ... + 20865633.

Almost surely, 2^1397995200 is an apocalyptic number.

1397995200 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 1397995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109789056).

1397995200 is an abundant number, since it is smaller than the sum of its proper divisors (4821582912).

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

1397995200 is a wasteful number, since it uses less digits than its factorization.

1397995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 1397995200 is about 37389.7740030613. The cubic root of 1397995200 is about 1118.1546994667.

The spelling of 1397995200 in words is "one billion, three hundred ninety-seven million, nine hundred ninety-five thousand, two hundred".