452815272 has 240 divisors, whose sum is σ = 1590310260. Its totient is φ = 119314944.

The previous prime is 452815189. The next prime is 452815273. The reversal of 452815272 is 272518254.

It is a happy number.

452815272 is a `hidden beast` number, since 4 + 52 + 81 + 527 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 411521796 + 41293476 = 20286^2 + 6426^2 .

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

It is not an unprimeable number, because it can be changed into a prime (452815273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 412228 + ... + 413324.

Almost surely, 2^452815272 is an apocalyptic number.

452815272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452815272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795155130).

452815272 is an abundant number, since it is smaller than the sum of its proper divisors (1137494988).

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

452815272 is a wasteful number, since it uses less digits than its factorization.

452815272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1122 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 452815272 is about 21279.4565720086. The cubic root of 452815272 is about 767.9041628459.

The spelling of 452815272 in words is "four hundred fifty-two million, eight hundred fifteen thousand, two hundred seventy-two".