450417706672 has 80 divisors (see below), whose sum is σ = 978477373440. Its totient is φ = 199602607104.

The previous prime is 450417706637. The next prime is 450417706679. The reversal of 450417706672 is 276607714054.

It is a super-2 number, since 2×450417706672² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (450417706679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 602113 + ... + 1123999.

It is an arithmetic number, because the mean of its divisors is an integer number (12230967168).

Almost surely, 2^450417706672 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 450417706672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489238686720).

450417706672 is an abundant number, since it is smaller than the sum of its proper divisors (528059666768).

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

450417706672 is a wasteful number, since it uses less digits than its factorization.

450417706672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522098 (or 522092 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 49.

The spelling of 450417706672 in words is "four hundred fifty billion, four hundred seventeen million, seven hundred six thousand, six hundred seventy-two".