450505440315 has 96 divisors (see below), whose sum is σ = 913550077440. Its totient is φ = 201075291648.

The previous prime is 450505440277. The next prime is 450505440349. The reversal of 450505440315 is 513044505054.

450505440315 is a `hidden beast` number, since 4 + 50 + 50 + 544 + 0 + 3 + 15 = 666.

It is not a de Polignac number, because 450505440315 - 2⁸ = 450505440059 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 450505440315.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45005031 + ... + 45015039.

It is an arithmetic number, because the mean of its divisors is an integer number (9516146640).

Almost surely, 2^450505440315 is an apocalyptic number.

450505440315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

450505440315 is an abundant number, since it is smaller than the sum of its proper divisors (463044637125).

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

450505440315 is a wasteful number, since it uses less digits than its factorization.

450505440315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13393 (or 13390 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 450505440315 its reverse (513044505054), we get a palindrome (963549945369).

The spelling of 450505440315 in words is "four hundred fifty billion, five hundred five million, four hundred forty thousand, three hundred fifteen".