8854574400 has 1008 divisors, whose sum is σ = 38777875200. Its totient is φ = 1958584320.

The previous prime is 8854574327. The next prime is 8854574413. The reversal of 8854574400 is 44754588.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 99489556 + ... + 99489644.

Almost surely, 2^8854574400 is an apocalyptic number.

8854574400 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 8854574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19388937600).

8854574400 is an abundant number, since it is smaller than the sum of its proper divisors (29923300800).

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

8854574400 is a wasteful number, since it uses less digits than its factorization.

8854574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 8854574400 is about 94098.7481319491. The cubic root of 8854574400 is about 2068.8193224976.

The spelling of 8854574400 in words is "eight billion, eight hundred fifty-four million, five hundred seventy-four thousand, four hundred".