450027446400 has 2016 divisors, whose sum is σ = 2017236602880. Its totient is φ = 98761420800.

The previous prime is 450027446389. The next prime is 450027446413. The reversal of 450027446400 is 4644720054.

450027446400 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 2 + 7 + 4 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 3543523137 + ... + 3543523263.

Almost surely, 2^450027446400 is an apocalyptic number.

450027446400 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 450027446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008618301440).

450027446400 is an abundant number, since it is smaller than the sum of its proper divisors (1567209156480).

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

450027446400 is a wasteful number, since it uses less digits than its factorization.

450027446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 450027446400 in words is "four hundred fifty billion, twenty-seven million, four hundred forty-six thousand, four hundred".