450975408 has 80 divisors (see below), whose sum is σ = 1259190240. Its totient is φ = 138258432.

The previous prime is 450975391. The next prime is 450975419. The reversal of 450975408 is 804579054.

It is a self number, because there is not a number n which added to its sum of digits gives 450975408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194158 + ... + 196466.

It is an arithmetic number, because the mean of its divisors is an integer number (15739878).

Almost surely, 2^450975408 is an apocalyptic number.

450975408 is a gapful number since it is divisible by the number (48) 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 450975408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629595120).

450975408 is an abundant number, since it is smaller than the sum of its proper divisors (808214832).

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

450975408 is a wasteful number, since it uses less digits than its factorization.

450975408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 450975408 is about 21236.1815776754. The cubic root of 450975408 is about 766.8627101261.

It can be divided in two parts, 45097 and 5408, that added together give a palindrome (50505).

The spelling of 450975408 in words is "four hundred fifty million, nine hundred seventy-five thousand, four hundred eight".