397032652800 has 1152 divisors, whose sum is σ = 1669150236000. Its totient is φ = 90172293120.

The previous prime is 397032652651. The next prime is 397032652811. The reversal of 397032652800 is 8256230793.

397032652800 is a `hidden beast` number, since 3 + 97 + 0 + 32 + 6 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2528870322 + ... + 2528870478.

Almost surely, 2^397032652800 is an apocalyptic number.

397032652800 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 397032652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834575118000).

397032652800 is an abundant number, since it is smaller than the sum of its proper divisors (1272117583200).

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

397032652800 is an equidigital number, since it uses as much as digits as its factorization.

397032652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 397032652800 in words is "three hundred ninety-seven billion, thirty-two million, six hundred fifty-two thousand, eight hundred".