397916064000 has 2160 divisors, whose sum is σ = 1862726641776. Its totient is φ = 83607552000.

The previous prime is 397916063999. The next prime is 397916064053. The reversal of 397916064000 is 460619793.

397916064000 is a `hidden beast` number, since 39 + 7 + 9 + 1 + 606 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 152962338816 + 244953725184 = 391104^2 + 494928^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 1651103880 + ... + 1651104120.

Almost surely, 2^397916064000 is an apocalyptic number.

397916064000 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 397916064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931363320888).

397916064000 is an abundant number, since it is smaller than the sum of its proper divisors (1464810577776).

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

397916064000 is a wasteful number, since it uses less digits than its factorization.

397916064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 397916064000 in words is "three hundred ninety-seven billion, nine hundred sixteen million, sixty-four thousand".