450497216520 has 384 divisors, whose sum is σ = 1625422256640. Its totient is φ = 107512289280.

The previous prime is 450497216489. The next prime is 450497216527. The reversal of 450497216520 is 25612794054.

450497216520 is a `hidden beast` number, since 4 + 5 + 0 + 49 + 72 + 16 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (450497216527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23526150 + ... + 23545290.

It is an arithmetic number, because the mean of its divisors is an integer number (4232870460).

Almost surely, 2^450497216520 is an apocalyptic number.

450497216520 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 450497216520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812711128320).

450497216520 is an abundant number, since it is smaller than the sum of its proper divisors (1174925040120).

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

450497216520 is a wasteful number, since it uses less digits than its factorization.

450497216520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19325 (or 19318 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 450497216520 in words is "four hundred fifty billion, four hundred ninety-seven million, two hundred sixteen thousand, five hundred twenty".