450031776 has 48 divisors (see below), whose sum is σ = 1187978400. Its totient is φ = 149166848.

The previous prime is 450031741. The next prime is 450031781. The reversal of 450031776 is 677130054.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 4090 + ... + 30278.

It is an arithmetic number, because the mean of its divisors is an integer number (24749550).

Almost surely, 2^450031776 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 450031776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593989200).

450031776 is an abundant number, since it is smaller than the sum of its proper divisors (737946624).

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

450031776 is a wasteful number, since it uses less digits than its factorization.

450031776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26381 (or 26373 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 450031776 is about 21213.9523898778. The cubic root of 450031776 is about 766.3274691901.

The spelling of 450031776 in words is "four hundred fifty million, thirty-one thousand, seven hundred seventy-six".