450945504 has 72 divisors (see below), whose sum is σ = 1292578560. Its totient is φ = 149119488.

The previous prime is 450945503. The next prime is 450945533. The reversal of 450945504 is 405549054.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450945503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30412 + ... + 42740.

It is an arithmetic number, because the mean of its divisors is an integer number (17952480).

Almost surely, 2^450945504 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 450945504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646289280).

450945504 is an abundant number, since it is smaller than the sum of its proper divisors (841633056).

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

450945504 is a wasteful number, since it uses less digits than its factorization.

450945504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12472 (or 12461 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 450945504 is about 21235.4774846246. The cubic root of 450945504 is about 766.8457596310.

The spelling of 450945504 in words is "four hundred fifty million, nine hundred forty-five thousand, five hundred four".