450014600 has 96 divisors (see below), whose sum is σ = 1234444800. Its totient is φ = 149299200.

The previous prime is 450014557. The next prime is 450014603. The reversal of 450014600 is 6410054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450014603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38216 + ... + 48584.

It is an arithmetic number, because the mean of its divisors is an integer number (12858800).

Almost surely, 2^450014600 is an apocalyptic number.

450014600 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 450014600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617222400).

450014600 is an abundant number, since it is smaller than the sum of its proper divisors (784430200).

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

450014600 is a wasteful number, since it uses less digits than its factorization.

450014600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10423 (or 10414 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 450014600 is about 21213.5475581054. The cubic root of 450014600 is about 766.3177197985.

Adding to 450014600 its reverse (6410054), we get a palindrome (456424654).

The spelling of 450014600 in words is "four hundred fifty million, fourteen thousand, six hundred".