450534400 has 66 divisors (see below), whose sum is σ = 1116843200. Its totient is φ = 180203520.

The previous prime is 450534379. The next prime is 450534407. The reversal of 450534400 is 4435054.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450534407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16801 + ... + 34399.

Almost surely, 2^450534400 is an apocalyptic number.

450534400 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 450534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558421600).

450534400 is an abundant number, since it is smaller than the sum of its proper divisors (666308800).

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

450534400 is a wasteful number, since it uses less digits than its factorization.

450534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17629 (or 17606 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 450534400 is about 21225.7956270195. The cubic root of 450534400 is about 766.6126574009.

Adding to 450534400 its reverse (4435054), we get a palindrome (454969454).

The spelling of 450534400 in words is "four hundred fifty million, five hundred thirty-four thousand, four hundred".