450461631360 has 512 divisors, whose sum is σ = 1623423513600. Its totient is φ = 106039025664.

The previous prime is 450461631359. The next prime is 450461631421. The reversal of 450461631360 is 63136164054.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97017199 + ... + 97021841.

It is an arithmetic number, because the mean of its divisors is an integer number (3170749050).

Almost surely, 2^450461631360 is an apocalyptic number.

450461631360 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 450461631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811711756800).

450461631360 is an abundant number, since it is smaller than the sum of its proper divisors (1172961882240).

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

450461631360 is a wasteful number, since it uses less digits than its factorization.

450461631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 450461631360 in words is "four hundred fifty billion, four hundred sixty-one million, six hundred thirty-one thousand, three hundred sixty".