896089424400 has 315 divisors, whose sum is σ = 3229648036599. Its totient is φ = 238820866560.

The previous prime is 896089424383. The next prime is 896089424413. The reversal of 896089424400 is 4424980698.

The square root of 896089424400 is 946620.

It is a perfect power (a square), and thus also a powerful number.

896089424400 is a `hidden beast` number, since 8 + 9 + 608 + 9 + 4 + 24 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 423691639056 + 472397785344 = 650916^2 + 687312^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 511173924 + ... + 511175676.

Almost surely, 2^896089424400 is an apocalyptic number.

896089424400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

896089424400 is the 946620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896089424400

896089424400 is an abundant number, since it is smaller than the sum of its proper divisors (2333558612199).

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

896089424400 is an frugal number, since it uses more digits than its factorization.

896089424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 896089424400 in words is "eight hundred ninety-six billion, eighty-nine million, four hundred twenty-four thousand, four hundred".