397857484800 has 936 divisors, whose sum is σ = 1508412622080. Its totient is φ = 103912243200.

The previous prime is 397857484793. The next prime is 397857484807. The reversal of 397857484800 is 8484758793.

397857484800 is a `hidden beast` number, since 3 + 9 + 7 + 85 + 74 + 8 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (397857484793) and next prime (397857484807).

It is a super-2 number, since 2×397857484800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397857484807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1468108665 + ... + 1468108935.

Almost surely, 2^397857484800 is an apocalyptic number.

397857484800 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 397857484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754206311040).

397857484800 is an abundant number, since it is smaller than the sum of its proper divisors (1110555137280).

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

397857484800 is an equidigital number, since it uses as much as digits as its factorization.

397857484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 397857484800 in words is "three hundred ninety-seven billion, eight hundred fifty-seven million, four hundred eighty-four thousand, eight hundred".