397408999680 has 2304 divisors, whose sum is σ = 1889778401280. Its totient is φ = 76640256000.

The previous prime is 397408999649. The next prime is 397408999697. The reversal of 397408999680 is 86999804793.

It is a tau number, because it is divible by the number of its divisors (2304).

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 = 397408999599 and 397408999608.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2631847605 + ... + 2631847755.

It is an arithmetic number, because the mean of its divisors is an integer number (820216320).

Almost surely, 2^397408999680 is an apocalyptic number.

397408999680 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 397408999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944889200640).

397408999680 is an abundant number, since it is smaller than the sum of its proper divisors (1492369401600).

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

397408999680 is a wasteful number, since it uses less digits than its factorization.

397408999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 397408999680 in words is "three hundred ninety-seven billion, four hundred eight million, nine hundred ninety-nine thousand, six hundred eighty".