897492960 has 480 divisors, whose sum is σ = 3903463872. Its totient is φ = 189112320.

The previous prime is 897492887. The next prime is 897492983. The reversal of 897492960 is 69294798.

897492960 is a `hidden beast` number, since 8 + 97 + 492 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×897492960² = 1610987226499123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 897492897 and 897492906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1178980 + ... + 1179740.

Almost surely, 2^897492960 is an apocalyptic number.

897492960 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 897492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951731936).

897492960 is an abundant number, since it is smaller than the sum of its proper divisors (3005970912).

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

897492960 is a wasteful number, since it uses less digits than its factorization.

897492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 897492960 is about 29958.1868610235. The cubic root of 897492960 is about 964.5920618184.

The spelling of 897492960 in words is "eight hundred ninety-seven million, four hundred ninety-two thousand, nine hundred sixty".