397852416000 has 1152 divisors, whose sum is σ = 1590508483200. Its totient is φ = 95020646400.

The previous prime is 397852415999. The next prime is 397852416029. The reversal of 397852416000 is 614258793.

397852416000 is a `hidden beast` number, since 39 + 7 + 8 + 5 + 2 + 4 + 1 + 600 + 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 95 ways as a sum of consecutive naturals, for example, 1108223821 + ... + 1108224179.

It is an arithmetic number, because the mean of its divisors is an integer number (1380649725).

It is a 1-persistent number, because it is pandigital, but 2⋅397852416000 = 795704832000 is not.

Almost surely, 2^397852416000 is an apocalyptic number.

397852416000 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 397852416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795254241600).

397852416000 is an abundant number, since it is smaller than the sum of its proper divisors (1192656067200).

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

397852416000 is a wasteful number, since it uses less digits than its factorization.

397852416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 419 counting only the distinct ones).

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

The spelling of 397852416000 in words is "three hundred ninety-seven billion, eight hundred fifty-two million, four hundred sixteen thousand".