450072576 has 156 divisors (see below), whose sum is σ = 1348074780. Its totient is φ = 144506880.

The previous prime is 450072541. The next prime is 450072583. The reversal of 450072576 is 675270054.

It can be written as a sum of positive squares in 2 ways, for example, as 81432576 + 368640000 = 9024^2 + 19200^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 450072576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1068846 + ... + 1069266.

It is an arithmetic number, because the mean of its divisors is an integer number (8641505).

Almost surely, 2^450072576 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 450072576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674037390).

450072576 is an abundant number, since it is smaller than the sum of its proper divisors (898002204).

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

450072576 is a wasteful number, since it uses less digits than its factorization.

450072576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 450072576 is about 21214.9139993543. The cubic root of 450072576 is about 766.3506269741.

The spelling of 450072576 in words is "four hundred fifty million, seventy-two thousand, five hundred seventy-six".