894688974400 has 567 divisors, whose sum is σ = 2556230387529. Its totient is φ = 308008796160.

The previous prime is 894688974317. The next prime is 894688974407. The reversal of 894688974400 is 4479886498.

It is a happy number.

The square root of 894688974400 is 945880.

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

It can be written as a sum of positive squares in 13 ways, for example, as 651584755264 + 243104219136 = 807208^2 + 493056^2 .

It is not an unprimeable number, because it can be changed into a prime (894688974407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8361579147 + ... + 8361579253.

Almost surely, 2^894688974400 is an apocalyptic number.

894688974400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

894688974400 is the 945880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 894688974400

894688974400 is an abundant number, since it is smaller than the sum of its proper divisors (1661541413129).

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

894688974400 is a wasteful number, since it uses less digits than its factorization.

894688974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 67.

The spelling of 894688974400 in words is "eight hundred ninety-four billion, six hundred eighty-eight million, nine hundred seventy-four thousand, four hundred".