897288000 has 448 divisors, whose sum is σ = 3486912000. Its totient is φ = 203212800.

The previous prime is 897287987. The next prime is 897288011. The reversal of 897288000 is 882798.

It is a happy number.

897288000 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 (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8231946 + ... + 8232054.

Almost surely, 2^897288000 is an apocalyptic number.

897288000 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 897288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743456000).

897288000 is an abundant number, since it is smaller than the sum of its proper divisors (2589624000).

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

897288000 is a wasteful number, since it uses less digits than its factorization.

897288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 897288000 is about 29954.7658979335. The cubic root of 897288000 is about 964.5186284325.

The spelling of 897288000 in words is "eight hundred ninety-seven million, two hundred eighty-eight thousand".