8952944400 has 405 divisors, whose sum is σ = 33190315509. Its totient is φ = 2234545920.

The previous prime is 8952944393. The next prime is 8952944411. The reversal of 8952944400 is 44492598.

The square root of 8952944400 is 94620.

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

8952944400 is a `hidden beast` number, since 89 + 529 + 4 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3223059984 + 5729884416 = 56772^2 + 75696^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 107866759 + ... + 107866841.

Almost surely, 2^8952944400 is an apocalyptic number.

8952944400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8952944400 is the 94620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8952944400

8952944400 is an abundant number, since it is smaller than the sum of its proper divisors (24237371109).

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

8952944400 is a wasteful number, since it uses less digits than its factorization.

8952944400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The cubic root of 8952944400 is about 2076.4523166029.

The spelling of 8952944400 in words is "eight billion, nine hundred fifty-two million, nine hundred forty-four thousand, four hundred".