397645102800 has 1440 divisors, whose sum is σ = 1675566756864. Its totient is φ = 89496576000.

The previous prime is 397645102769. The next prime is 397645102819. The reversal of 397645102800 is 8201546793.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2381108317 + ... + 2381108483.

It is a 1-persistent number, because it is pandigital, but 2⋅397645102800 = 795290205600 is not.

Almost surely, 2^397645102800 is an apocalyptic number.

397645102800 is a gapful number since it is divisible by the number (30) 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 397645102800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837783378432).

397645102800 is an abundant number, since it is smaller than the sum of its proper divisors (1277921654064).

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

397645102800 is a wasteful number, since it uses less digits than its factorization.

397645102800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 397645102800 in words is "three hundred ninety-seven billion, six hundred forty-five million, one hundred two thousand, eight hundred".