897955200 has 384 divisors, whose sum is σ = 3465552000. Its totient is φ = 226437120.

The previous prime is 897955169. The next prime is 897955211. The reversal of 897955200 is 2559798.

It is a happy number.

897955200 is a `hidden beast` number, since 8 + 97 + 9 + 552 + 0 + 0 = 666.

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

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1641327 + ... + 1641873.

It is an arithmetic number, because the mean of its divisors is an integer number (9024875).

Almost surely, 2^897955200 is an apocalyptic number.

897955200 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 897955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732776000).

897955200 is an abundant number, since it is smaller than the sum of its proper divisors (2567596800).

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

897955200 is a wasteful number, since it uses less digits than its factorization.

897955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 897955200 is about 29965.9006205387. The cubic root of 897955200 is about 964.7576328516.

The spelling of 897955200 in words is "eight hundred ninety-seven million, nine hundred fifty-five thousand, two hundred".