450235061760 has 320 divisors, whose sum is σ = 1572726481920. Its totient is φ = 108971950080.

The previous prime is 450235061747. The next prime is 450235061797. The reversal of 450235061760 is 67160532054.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×450235061760² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 56851081 + ... + 56858999.

It is an arithmetic number, because the mean of its divisors is an integer number (4914770256).

Almost surely, 2^450235061760 is an apocalyptic number.

450235061760 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 450235061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786363240960).

450235061760 is an abundant number, since it is smaller than the sum of its proper divisors (1122491420160).

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

450235061760 is a wasteful number, since it uses less digits than its factorization.

450235061760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8629 (or 8613 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 450235061760 in words is "four hundred fifty billion, two hundred thirty-five million, sixty-one thousand, seven hundred sixty".