450023933952 has 576 divisors, whose sum is σ = 1437089472000. Its totient is φ = 135109804032.

The previous prime is 450023933939. The next prime is 450023933959. The reversal of 450023933952 is 259339320054.

It is a happy number.

450023933952 is a `hidden beast` number, since 4 + 500 + 2 + 3 + 93 + 3 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×450023933952² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 450023933898 and 450023933907.

It is not an unprimeable number, because it can be changed into a prime (450023933959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741390033 + ... + 741390639.

It is an arithmetic number, because the mean of its divisors is an integer number (2494947000).

Almost surely, 2^450023933952 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 450023933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718544736000).

450023933952 is an abundant number, since it is smaller than the sum of its proper divisors (987065538048).

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

450023933952 is a wasteful number, since it uses less digits than its factorization.

450023933952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 450023933952 in words is "four hundred fifty billion, twenty-three million, nine hundred thirty-three thousand, nine hundred fifty-two".