450976896 has 160 divisors (see below), whose sum is σ = 1355151600. Its totient is φ = 149485824.

The previous prime is 450976879. The next prime is 450976909. The reversal of 450976896 is 698679054.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2519335 + ... + 2519513.

Almost surely, 2^450976896 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 450976896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677575800).

450976896 is an abundant number, since it is smaller than the sum of its proper divisors (904174704).

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

450976896 is an frugal number, since it uses more digits than its factorization.

450976896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 450976896 is about 21236.2166121934. The cubic root of 450976896 is about 766.8635535501.

The spelling of 450976896 in words is "four hundred fifty million, nine hundred seventy-six thousand, eight hundred ninety-six".