450634464 has 72 divisors (see below), whose sum is σ = 1464568560. Its totient is φ = 128752128.

The previous prime is 450634439. The next prime is 450634477. The reversal of 450634464 is 464436054.

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 an unprimeable number.

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, 109749 + ... + 113780.

It is an arithmetic number, because the mean of its divisors is an integer number (20341230).

Almost surely, 2^450634464 is an apocalyptic number.

It is an amenable number.

450634464 is an abundant number, since it is smaller than the sum of its proper divisors (1013934096).

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

450634464 is a wasteful number, since it uses less digits than its factorization.

450634464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223552 (or 223541 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 450634464 is about 21228.1526280550. The cubic root of 450634464 is about 766.6694082658.

The spelling of 450634464 in words is "four hundred fifty million, six hundred thirty-four thousand, four hundred sixty-four".