450001220240 has 160 divisors (see below), whose sum is σ = 1230896217600. Its totient is φ = 150836520960.

The previous prime is 450001220239. The next prime is 450001220257. The reversal of 450001220240 is 42022100054.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8198006 + ... + 8252714.

It is an arithmetic number, because the mean of its divisors is an integer number (7693101360).

Almost surely, 2^450001220240 is an apocalyptic number.

450001220240 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 450001220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615448108800).

450001220240 is an abundant number, since it is smaller than the sum of its proper divisors (780894997360).

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

450001220240 is a wasteful number, since it uses less digits than its factorization.

450001220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55465 (or 55459 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 450001220240 its reverse (42022100054), we get a palindrome (492023320294).

The spelling of 450001220240 in words is "four hundred fifty billion, one million, two hundred twenty thousand, two hundred forty".