450768400 has 60 divisors (see below), whose sum is σ = 1086410500. Its totient is φ = 179735040.

The previous prime is 450768377. The next prime is 450768401. The reversal of 450768400 is 4867054.

It can be written as a sum of positive squares in 6 ways, for example, as 6739216 + 444029184 = 2596^2 + 21072^2 .

It is not an unprimeable number, because it can be changed into a prime (450768401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137986 + ... + 141214.

Almost surely, 2^450768400 is an apocalyptic number.

450768400 is a gapful number since it is divisible by the number (40) 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 450768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543205250).

450768400 is an abundant number, since it is smaller than the sum of its proper divisors (635642100).

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

450768400 is a wasteful number, since it uses less digits than its factorization.

450768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 450768400 is about 21231.3070723401. The cubic root of 450768400 is about 766.7453563424.

The spelling of 450768400 in words is "four hundred fifty million, seven hundred sixty-eight thousand, four hundred".