449985202920 has 384 divisors, whose sum is σ = 1666548898560. Its totient is φ = 104232775680.

The previous prime is 449985202907. The next prime is 449985202921. The reversal of 449985202920 is 29202589944.

It is a happy number.

449985202920 is a `hidden beast` number, since 4 + 4 + 9 + 98 + 520 + 2 + 9 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (449985202921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110478004 + ... + 110482076.

It is an arithmetic number, because the mean of its divisors is an integer number (4339971090).

Almost surely, 2^449985202920 is an apocalyptic number.

449985202920 is a gapful number since it is divisible by the number (40) 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 449985202920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833274449280).

449985202920 is an abundant number, since it is smaller than the sum of its proper divisors (1216563695640).

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

449985202920 is a wasteful number, since it uses less digits than its factorization.

449985202920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 449985202920 in words is "four hundred forty-nine billion, nine hundred eighty-five million, two hundred two thousand, nine hundred twenty".