450510649120 has 288 divisors, whose sum is σ = 1293893491968. Its totient is φ = 147653517312.

The previous prime is 450510649109. The next prime is 450510649187. The reversal of 450510649120 is 21946015054.

It is a self number, because there is not a number n which added to its sum of digits gives 450510649120.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15830424 + ... + 15858856.

It is an arithmetic number, because the mean of its divisors is an integer number (4492685736).

Almost surely, 2^450510649120 is an apocalyptic number.

450510649120 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 450510649120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646946745984).

450510649120 is an abundant number, since it is smaller than the sum of its proper divisors (843382842848).

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

450510649120 is a wasteful number, since it uses less digits than its factorization.

450510649120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28552 (or 28537 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 450510649120 in words is "four hundred fifty billion, five hundred ten million, six hundred forty-nine thousand, one hundred twenty".