450617735040 has 256 divisors, whose sum is σ = 1567717804800. Its totient is φ = 109185105920.

The previous prime is 450617735027. The next prime is 450617735041. The reversal of 450617735040 is 40537716054.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 450617734983 and 450617735001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450617735041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54464344 + ... + 54472616.

It is an arithmetic number, because the mean of its divisors is an integer number (6123897675).

Almost surely, 2^450617735040 is an apocalyptic number.

450617735040 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 450617735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783858902400).

450617735040 is an abundant number, since it is smaller than the sum of its proper divisors (1117100069760).

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

450617735040 is a wasteful number, since it uses less digits than its factorization.

450617735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10885 (or 10873 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 450617735040 in words is "four hundred fifty billion, six hundred seventeen million, seven hundred thirty-five thousand, forty".