449268710400 has 792 divisors, whose sum is σ = 1793157752880. Its totient is φ = 106805329920.

The previous prime is 449268710389. The next prime is 449268710437. The reversal of 449268710400 is 4017862944.

449268710400 is a `hidden beast` number, since 449 + 26 + 87 + 104 + 0 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74416182 + ... + 74422218.

Almost surely, 2^449268710400 is an apocalyptic number.

449268710400 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 449268710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896578876440).

449268710400 is an abundant number, since it is smaller than the sum of its proper divisors (1343889042480).

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

449268710400 is a wasteful number, since it uses less digits than its factorization.

449268710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6109 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 449268710400 in words is "four hundred forty-nine billion, two hundred sixty-eight million, seven hundred ten thousand, four hundred".