450044672 has 216 divisors, whose sum is σ = 1204815360. Its totient is φ = 162938880.

The previous prime is 450044671. The next prime is 450044711. The reversal of 450044672 is 276440054.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450044671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5696729 + ... + 5696807.

Almost surely, 2^450044672 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 450044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602407680).

450044672 is an abundant number, since it is smaller than the sum of its proper divisors (754770688).

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

450044672 is a wasteful number, since it uses less digits than its factorization.

450044672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 450044672 is about 21214.2563386040. The cubic root of 450044672 is about 766.3347890174.

The spelling of 450044672 in words is "four hundred fifty million, forty-four thousand, six hundred seventy-two".