450242400 has 144 divisors (see below), whose sum is σ = 1516309200. Its totient is φ = 115906560.

The previous prime is 450242369. The next prime is 450242413. The reversal of 450242400 is 4242054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66366 + ... + 72834.

It is an arithmetic number, because the mean of its divisors is an integer number (10529925).

Almost surely, 2^450242400 is an apocalyptic number.

450242400 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 450242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758154600).

450242400 is an abundant number, since it is smaller than the sum of its proper divisors (1066066800).

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

450242400 is a wasteful number, since it uses less digits than its factorization.

450242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521 (or 6508 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 450242400 is about 21218.9160891880. The cubic root of 450242400 is about 766.4470028108.

Adding to 450242400 its reverse (4242054), we get a palindrome (454484454).

The spelling of 450242400 in words is "four hundred fifty million, two hundred forty-two thousand, four hundred".