1397201400 has 504 divisors, whose sum is σ = 5720805720. Its totient is φ = 310728960.

The previous prime is 1397201387. The next prime is 1397201417. The reversal of 1397201400 is 41027931.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 125 ways as a sum of consecutive naturals, for example, 37762182 + ... + 37762218.

It is an arithmetic number, because the mean of its divisors is an integer number (11350805).

Almost surely, 2^1397201400 is an apocalyptic number.

1397201400 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 1397201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860402860).

1397201400 is an abundant number, since it is smaller than the sum of its proper divisors (4323604320).

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

1397201400 is an equidigital number, since it uses as much as digits as its factorization.

1397201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1397201400 is about 37379.1572938717. The cubic root of 1397201400 is about 1117.9430250993.

The spelling of 1397201400 in words is "one billion, three hundred ninety-seven million, two hundred one thousand, four hundred".