450880593450 has 384 divisors, whose sum is σ = 1428002887680. Its totient is φ = 91653120000.

The previous prime is 450880593353. The next prime is 450880593473. The reversal of 450880593450 is 54395088054.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 450880593393 and 450880593402.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150241950 + ... + 150244950.

It is an arithmetic number, because the mean of its divisors is an integer number (3718757520).

Almost surely, 2^450880593450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450880593450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714001443840).

450880593450 is an abundant number, since it is smaller than the sum of its proper divisors (977122294230).

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

450880593450 is a wasteful number, since it uses less digits than its factorization.

450880593450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 450880593450 in words is "four hundred fifty billion, eight hundred eighty million, five hundred ninety-three thousand, four hundred fifty".