397971360 has 192 divisors, whose sum is σ = 1475107200. Its totient is φ = 99864576.

The previous prime is 397971349. The next prime is 397971361. The reversal of 397971360 is 63179793.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (397971361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70731 + ... + 76149.

It is an arithmetic number, because the mean of its divisors is an integer number (7682850).

Almost surely, 2^397971360 is an apocalyptic number.

397971360 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 397971360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737553600).

397971360 is an abundant number, since it is smaller than the sum of its proper divisors (1077135840).

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

397971360 is a wasteful number, since it uses less digits than its factorization.

397971360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The square root of 397971360 is about 19949.2195336058. The cubic root of 397971360 is about 735.5585924442.

The spelling of 397971360 in words is "three hundred ninety-seven million, nine hundred seventy-one thousand, three hundred sixty".