397908000 has 288 divisors, whose sum is σ = 1614936960. Its totient is φ = 90892800.

The previous prime is 397907957. The next prime is 397908037. The reversal of 397908000 is 809793.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251211 + ... + 252789.

It is an arithmetic number, because the mean of its divisors is an integer number (5607420).

Almost surely, 2^397908000 is an apocalyptic number.

397908000 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 397908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807468480).

397908000 is an abundant number, since it is smaller than the sum of its proper divisors (1217028960).

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

397908000 is a wasteful number, since it uses less digits than its factorization.

397908000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 397908000 is about 19947.6314383438. The cubic root of 397908000 is about 735.5195549064.

The spelling of 397908000 in words is "three hundred ninety-seven million, nine hundred eight thousand".