397987200 has 288 divisors, whose sum is σ = 1530787440. Its totient is φ = 97873920.

The previous prime is 397987199. The next prime is 397987253. The reversal of 397987200 is 2789793.

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

It is a super-2 number, since 2×397987200² = 316787622727680000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 373869 + ... + 374931.

Almost surely, 2^397987200 is an apocalyptic number.

397987200 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 397987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765393720).

397987200 is an abundant number, since it is smaller than the sum of its proper divisors (1132800240).

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

397987200 is a wasteful number, since it uses less digits than its factorization.

397987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 397987200 is about 19949.6165376681. The cubic root of 397987200 is about 735.5683511812.

The spelling of 397987200 in words is "three hundred ninety-seven million, nine hundred eighty-seven thousand, two hundred".