397408000 has 144 divisors (see below), whose sum is σ = 1080948960. Its totient is φ = 144384000.

The previous prime is 397407953. The next prime is 397408013. The reversal of 397408000 is 804793.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351436 + ... + 352564.

It is an arithmetic number, because the mean of its divisors is an integer number (7506590).

Almost surely, 2^397408000 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 397408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540474480).

397408000 is an abundant number, since it is smaller than the sum of its proper divisors (683540960).

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

397408000 is a wasteful number, since it uses less digits than its factorization.

397408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 397408000 is about 19935.0946824940. The cubic root of 397408000 is about 735.2113480480.

The spelling of 397408000 in words is "three hundred ninety-seven million, four hundred eight thousand".