8412465600 has 1008 divisors, whose sum is σ = 38796016896. Its totient is φ = 1741824000.

The previous prime is 8412465583. The next prime is 8412465619. The reversal of 8412465600 is 65642148.

8412465600 is a `hidden beast` number, since 8 + 4 + 1 + 2 + 46 + 5 + 600 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29937460 + ... + 29937740.

It is an arithmetic number, because the mean of its divisors is an integer number (38488112).

Almost surely, 2^8412465600 is an apocalyptic number.

8412465600 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 8412465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19398008448).

8412465600 is an abundant number, since it is smaller than the sum of its proper divisors (30383551296).

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

8412465600 is a wasteful number, since it uses less digits than its factorization.

8412465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8412465600 is about 91719.4941111212. The cubic root of 8412465600 is about 2033.7977714206.

The spelling of 8412465600 in words is "eight billion, four hundred twelve million, four hundred sixty-five thousand, six hundred".