450542040 has 128 divisors (see below), whose sum is σ = 1461620160. Its totient is φ = 110444544.

The previous prime is 450542039. The next prime is 450542051. The reversal of 450542040 is 40245054.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 450542040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525292 + ... + 526148.

Almost surely, 2^450542040 is an apocalyptic number.

450542040 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 450542040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730810080).

450542040 is an abundant number, since it is smaller than the sum of its proper divisors (1011078120).

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

450542040 is a wasteful number, since it uses less digits than its factorization.

450542040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 450542040 is about 21225.9755959532. The cubic root of 450542040 is about 766.6169906902.

Adding to 450542040 its reverse (40245054), we get a palindrome (490787094).

The spelling of 450542040 in words is "four hundred fifty million, five hundred forty-two thousand, forty".