450696737640 has 384 divisors, whose sum is σ = 1445883626880. Its totient is φ = 112312811520.

The previous prime is 450696737629. The next prime is 450696737641. The reversal of 450696737640 is 46737696054.

It is not an unprimeable number, because it can be changed into a prime (450696737641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 480999252 + ... + 481000188.

It is an arithmetic number, because the mean of its divisors is an integer number (3765321945).

Almost surely, 2^450696737640 is an apocalyptic number.

450696737640 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 450696737640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722941813440).

450696737640 is an abundant number, since it is smaller than the sum of its proper divisors (995186889240).

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

450696737640 is a wasteful number, since it uses less digits than its factorization.

450696737640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 57.

The spelling of 450696737640 in words is "four hundred fifty billion, six hundred ninety-six million, seven hundred thirty-seven thousand, six hundred forty".