450993403488 has 96 divisors (see below), whose sum is σ = 1225130628960. Its totient is φ = 145093939200.

The previous prime is 450993403453. The next prime is 450993403489. The reversal of 450993403488 is 884304399054.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×450993403488² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450993403489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7925538 + ... + 7982238.

It is an arithmetic number, because the mean of its divisors is an integer number (12761777385).

Almost surely, 2^450993403488 is an apocalyptic number.

450993403488 is a gapful number since it is divisible by the number (48) 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 450993403488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612565314480).

450993403488 is an abundant number, since it is smaller than the sum of its proper divisors (774137225472).

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

450993403488 is a wasteful number, since it uses less digits than its factorization.

450993403488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59600 (or 59592 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 450993403488 in words is "four hundred fifty billion, nine hundred ninety-three million, four hundred three thousand, four hundred eighty-eight".