450907471872 has 864 divisors, whose sum is σ = 1601001672480. Its totient is φ = 126127964160.

The previous prime is 450907471867. The next prime is 450907471879. The reversal of 450907471872 is 278174709054.

450907471872 is a `hidden beast` number, since 4 + 5 + 0 + 90 + 7 + 471 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450907471879) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 34685190138 + ... + 34685190150.

It is an arithmetic number, because the mean of its divisors is an integer number (1853011195).

Almost surely, 2^450907471872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450907471872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800500836240).

450907471872 is an abundant number, since it is smaller than the sum of its proper divisors (1150094200608).

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

450907471872 is an frugal number, since it uses more digits than its factorization.

450907471872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 450907471872 in words is "four hundred fifty billion, nine hundred seven million, four hundred seventy-one thousand, eight hundred seventy-two".