397461945190464 has 1680 divisors, whose sum is σ = 1526591434959360. Its totient is φ = 100034694144000.

The previous prime is 397461945190447. The next prime is 397461945190483. The reversal of 397461945190464 is 464091549164793.

It is a happy number.

397461945190464 is a `hidden beast` number, since 3 + 9 + 7 + 4 + 61 + 9 + 4 + 519 + 0 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 397461945190392 and 397461945190401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20843345922 + ... + 20843364990.

It is an arithmetic number, because the mean of its divisors is an integer number (908685377952).

Almost surely, 2^{397461945190464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397461945190464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763295717479680).

397461945190464 is an abundant number, since it is smaller than the sum of its proper divisors (1129129489768896).

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

397461945190464 is a wasteful number, since it uses less digits than its factorization.

397461945190464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19270 (or 19240 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 397461945190464 in words is "three hundred ninety-seven trillion, four hundred sixty-one billion, nine hundred forty-five million, one hundred ninety thousand, four hundred sixty-four".