450459146790 has 192 divisors, whose sum is σ = 1247700879360. Its totient is φ = 112364236800.

The previous prime is 450459146779. The next prime is 450459146897. The reversal of 450459146790 is 97641954054.

450459146790 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 5 + 91 + 467 + 90 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 391362715 + ... + 391363865.

It is an arithmetic number, because the mean of its divisors is an integer number (6498442080).

Almost surely, 2^450459146790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450459146790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623850439680).

450459146790 is an abundant number, since it is smaller than the sum of its proper divisors (797241732570).

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

450459146790 is a wasteful number, since it uses less digits than its factorization.

450459146790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 450459146790 in words is "four hundred fifty billion, four hundred fifty-nine million, one hundred forty-six thousand, seven hundred ninety".