450259872 has 96 divisors (see below), whose sum is σ = 1284433920. Its totient is φ = 137583360.

The previous prime is 450259871. The next prime is 450259879. The reversal of 450259872 is 278952054.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (450259871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52563 + ... + 60525.

It is an arithmetic number, because the mean of its divisors is an integer number (13379520).

Almost surely, 2^450259872 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 450259872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642216960).

450259872 is an abundant number, since it is smaller than the sum of its proper divisors (834174048).

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

450259872 is a wasteful number, since it uses less digits than its factorization.

450259872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8026 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 450259872 is about 21219.3277933115. The cubic root of 450259872 is about 766.4569168696.

The spelling of 450259872 in words is "four hundred fifty million, two hundred fifty-nine thousand, eight hundred seventy-two".