450120908160 has 768 divisors, whose sum is σ = 2051884224000. Its totient is φ = 88028282880.

The previous prime is 450120908137. The next prime is 450120908161. The reversal of 450120908160 is 61809021054.

450120908160 is a `hidden beast` number, since 4 + 501 + 2 + 0 + 90 + 8 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450120908161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7509991 + ... + 7569689.

It is an arithmetic number, because the mean of its divisors is an integer number (2671724250).

Almost surely, 2^450120908160 is an apocalyptic number.

450120908160 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 450120908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025942112000).

450120908160 is an abundant number, since it is smaller than the sum of its proper divisors (1601763315840).

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

450120908160 is a wasteful number, since it uses less digits than its factorization.

450120908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59759 (or 59744 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 450120908160 in words is "four hundred fifty billion, one hundred twenty million, nine hundred eight thousand, one hundred sixty".