450815038452 has 96 divisors (see below), whose sum is σ = 1181983488000. Its totient is φ = 148577089536.

The previous prime is 450815038451. The next prime is 450815038469. The reversal of 450815038452 is 254830518054.

450815038452 is a `hidden beast` number, since 4 + 508 + 15 + 0 + 3 + 84 + 52 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 450815038398 and 450815038407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450815038451) 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 31 ways as a sum of consecutive naturals, for example, 10968813 + ... + 11009835.

It is an arithmetic number, because the mean of its divisors is an integer number (12312328000).

Almost surely, 2^450815038452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450815038452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590991744000).

450815038452 is an abundant number, since it is smaller than the sum of its proper divisors (731168449548).

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

450815038452 is a wasteful number, since it uses less digits than its factorization.

450815038452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42182 (or 42174 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 450815038452 in words is "four hundred fifty billion, eight hundred fifteen million, thirty-eight thousand, four hundred fifty-two".