450753515520 has 416 divisors, whose sum is σ = 1798130257920. Its totient is φ = 93662085120.

The previous prime is 450753515497. The next prime is 450753515521. The reversal of 450753515520 is 25515357054.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450753515521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4683241 + ... + 4778519.

Almost surely, 2^450753515520 is an apocalyptic number.

450753515520 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 450753515520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899065128960).

450753515520 is an abundant number, since it is smaller than the sum of its proper divisors (1347376742400).

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

450753515520 is a wasteful number, since it uses less digits than its factorization.

450753515520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95329 (or 95307 counting only the distinct ones).

The product of its (nonzero) digits is 525000, while the sum is 42.

The spelling of 450753515520 in words is "four hundred fifty billion, seven hundred fifty-three million, five hundred fifteen thousand, five hundred twenty".