397716000 has 384 divisors, whose sum is σ = 1494484992. Its totient is φ = 91520000.

The previous prime is 397715951. The next prime is 397716013. The reversal of 397716000 is 617793.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3035935 + ... + 3036065.

It is an arithmetic number, because the mean of its divisors is an integer number (3891888).

Almost surely, 2^397716000 is an apocalyptic number.

397716000 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 397716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747242496).

397716000 is an abundant number, since it is smaller than the sum of its proper divisors (1096768992).

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

397716000 is a wasteful number, since it uses less digits than its factorization.

397716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 397716000 is about 19942.8182562044. The cubic root of 397716000 is about 735.4012340261.

The spelling of 397716000 in words is "three hundred ninety-seven million, seven hundred sixteen thousand".