897828480 has 384 divisors, whose sum is σ = 3363955920. Its totient is φ = 219807744.

The previous prime is 897828469. The next prime is 897828493. The reversal of 897828480 is 84828798.

897828480 = T₂₃ + T₂₄ + ... + T₁₇₅₂.

897828480 is a `hidden beast` number, since 89 + 7 + 82 + 8 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 789834816 + 107993664 = 28104^2 + 10392^2 .

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

It is a super-2 number, since 2×897828480² = 1612191958998220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5189674 + ... + 5189846.

Almost surely, 2^897828480 is an apocalyptic number.

897828480 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 897828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681977960).

897828480 is an abundant number, since it is smaller than the sum of its proper divisors (2466127440).

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

897828480 is a wasteful number, since it uses less digits than its factorization.

897828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 897828480 is about 29963.7861426089. The cubic root of 897828480 is about 964.7122483162.

The spelling of 897828480 in words is "eight hundred ninety-seven million, eight hundred twenty-eight thousand, four hundred eighty".