8464856400 has 1680 divisors, whose sum is σ = 42351039360. Its totient is φ = 1567641600.

The previous prime is 8464856347. The next prime is 8464856423. The reversal of 8464856400 is 46584648.

8464856400 is a `hidden beast` number, since 8 + 46 + 48 + 564 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 291891586 + ... + 291891614.

It is an arithmetic number, because the mean of its divisors is an integer number (25208952).

Almost surely, 2^8464856400 is an apocalyptic number.

8464856400 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 8464856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21175519680).

8464856400 is an abundant number, since it is smaller than the sum of its proper divisors (33886182960).

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

8464856400 is a wasteful number, since it uses less digits than its factorization.

8464856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8464856400 is about 92004.6542300986. The cubic root of 8464856400 is about 2038.0110372063.

The spelling of 8464856400 in words is "eight billion, four hundred sixty-four million, eight hundred fifty-six thousand, four hundred".