449951884200 has 1536 divisors, whose sum is σ = 2041069363200. Its totient is φ = 88501248000.

The previous prime is 449951884163. The next prime is 449951884211. The reversal of 449951884200 is 2488159944.

It is a happy number.

449951884200 is a `hidden beast` number, since 4 + 4 + 99 + 51 + 88 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 463389715 + ... + 463390685.

It is an arithmetic number, because the mean of its divisors is an integer number (1328821200).

Almost surely, 2^449951884200 is an apocalyptic number.

449951884200 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 449951884200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020534681600).

449951884200 is an abundant number, since it is smaller than the sum of its proper divisors (1591117479000).

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

449951884200 is a wasteful number, since it uses less digits than its factorization.

449951884200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 449951884200 in words is "four hundred forty-nine billion, nine hundred fifty-one million, eight hundred eighty-four thousand, two hundred".