450414456 has 128 divisors (see below), whose sum is σ = 1270080000. Its totient is φ = 132268032.

The previous prime is 450414443. The next prime is 450414499. The reversal of 450414456 is 654414054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751645 + ... + 752243.

It is an arithmetic number, because the mean of its divisors is an integer number (9922500).

Almost surely, 2^450414456 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 450414456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040000).

450414456 is an abundant number, since it is smaller than the sum of its proper divisors (819665544).

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

450414456 is a wasteful number, since it uses less digits than its factorization.

450414456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 450414456 is about 21222.9700089314. The cubic root of 450414456 is about 766.5446206061.

The spelling of 450414456 in words is "four hundred fifty million, four hundred fourteen thousand, four hundred fifty-six".