897283200 has 384 divisors, whose sum is σ = 3346660800. Its totient is φ = 209305600.

The previous prime is 897283183. The next prime is 897283201. The reversal of 897283200 is 2382798.

897283200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (897283201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3062254 + ... + 3062546.

Almost surely, 2^897283200 is an apocalyptic number.

897283200 is a gapful number since it is divisible by the number (80) 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 897283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673330400).

897283200 is an abundant number, since it is smaller than the sum of its proper divisors (2449377600).

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

897283200 is a wasteful number, since it uses less digits than its factorization.

897283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 897283200 is about 29954.6857770199. The cubic root of 897283200 is about 964.5169085471.

The spelling of 897283200 in words is "eight hundred ninety-seven million, two hundred eighty-three thousand, two hundred".