397681200 has 360 divisors, whose sum is σ = 1618293248. Its totient is φ = 88542720.

The previous prime is 397681199. The next prime is 397681213. The reversal of 397681200 is 2186793.

397681200 is a `hidden beast` number, since 397 + 68 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 1083417 + ... + 1083783.

Almost surely, 2^397681200 is an apocalyptic number.

397681200 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 397681200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809146624).

397681200 is an abundant number, since it is smaller than the sum of its proper divisors (1220612048).

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

397681200 is a wasteful number, since it uses less digits than its factorization.

397681200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 397681200 is about 19941.9457425799. The cubic root of 397681200 is about 735.3797842903.

The spelling of 397681200 in words is "three hundred ninety-seven million, six hundred eighty-one thousand, two hundred".