897558480 has 720 divisors, whose sum is σ = 4013493120. Its totient is φ = 177666048.

The previous prime is 897558449. The next prime is 897558491. The reversal of 897558480 is 84855798.

897558480 is a `hidden beast` number, since 8 + 9 + 7 + 558 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×897558480² = 1611222450039820800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8714109 + ... + 8714211.

It is an arithmetic number, because the mean of its divisors is an integer number (5574296).

Almost surely, 2^897558480 is an apocalyptic number.

897558480 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 897558480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006746560).

897558480 is an abundant number, since it is smaller than the sum of its proper divisors (3115934640).

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

897558480 is a wasteful number, since it uses less digits than its factorization.

897558480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 897558480 is about 29959.2803651890. The cubic root of 897558480 is about 964.6155340672.

The spelling of 897558480 in words is "eight hundred ninety-seven million, five hundred fifty-eight thousand, four hundred eighty".