874636448400 has 1215 divisors, whose sum is σ = 3646068919857. Its totient is φ = 193927219200.

The previous prime is 874636448369. The next prime is 874636448443. The reversal of 874636448400 is 4844636478.

The square root of 874636448400 is 935220.

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

874636448400 is a `hidden beast` number, since 87 + 4 + 63 + 64 + 48 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 705458887056 + 169177561344 = 839916^2 + 411312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 8024187546 + ... + 8024187654.

Almost surely, 2^874636448400 is an apocalyptic number.

874636448400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

874636448400 is the 935220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874636448400

874636448400 is an abundant number, since it is smaller than the sum of its proper divisors (2771432471457).

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

874636448400 is a wasteful number, since it uses less digits than its factorization.

874636448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 874636448400 in words is "eight hundred seventy-four billion, six hundred thirty-six million, four hundred forty-eight thousand, four hundred".