8449412400 has 480 divisors, whose sum is σ = 35337738240. Its totient is φ = 1890432000.

The previous prime is 8449412399. The next prime is 8449412417. The reversal of 8449412400 is 42149448.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1541665 + ... + 1547135.

It is an arithmetic number, because the mean of its divisors is an integer number (73620288).

Almost surely, 2^8449412400 is an apocalyptic number.

8449412400 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 8449412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17668869120).

8449412400 is an abundant number, since it is smaller than the sum of its proper divisors (26888325840).

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

8449412400 is a wasteful number, since it uses less digits than its factorization.

8449412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5522 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8449412400 is about 91920.6853760349. The cubic root of 8449412400 is about 2036.7708427558.

The spelling of 8449412400 in words is "eight billion, four hundred forty-nine million, four hundred twelve thousand, four hundred".