450475272 has 96 divisors (see below), whose sum is σ = 1319998680. Its totient is φ = 137963520.

The previous prime is 450475261. The next prime is 450475283. The reversal of 450475272 is 272574054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (450475261) and next prime (450475283).

It can be written as a sum of positive squares in 4 ways, for example, as 232440516 + 218034756 = 15246^2 + 14766^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224578 + ... + 226574.

Almost surely, 2^450475272 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 450475272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659999340).

450475272 is an abundant number, since it is smaller than the sum of its proper divisors (869523408).

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

450475272 is a wasteful number, since it uses less digits than its factorization.

450475272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 450475272 is about 21224.4027477807. The cubic root of 450475272 is about 766.5791192617.

The spelling of 450475272 in words is "four hundred fifty million, four hundred seventy-five thousand, two hundred seventy-two".