450301040 has 80 divisors (see below), whose sum is σ = 1235159040. Its totient is φ = 149402880.

The previous prime is 450301013. The next prime is 450301051. The reversal of 450301040 is 40103054.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4391 + ... + 30329.

It is an arithmetic number, because the mean of its divisors is an integer number (15439488).

Almost surely, 2^450301040 is an apocalyptic number.

450301040 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 450301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617579520).

450301040 is an abundant number, since it is smaller than the sum of its proper divisors (784858000).

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

450301040 is a wasteful number, since it uses less digits than its factorization.

450301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25990 (or 25984 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 450301040 is about 21220.2978301437. The cubic root of 450301040 is about 766.4802756295.

Adding to 450301040 its reverse (40103054), we get a palindrome (490404094).

The spelling of 450301040 in words is "four hundred fifty million, three hundred one thousand, forty".