451441152 has 90 divisors (see below), whose sum is σ = 1307065617. Its totient is φ = 149999616.

The previous prime is 451441147. The next prime is 451441153. The reversal of 451441152 is 251144154.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 261662976 + 189778176 = 16176^2 + 13776^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15024.

It is a super-2 number, since 2×451441152² = 407598227438174208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (451441153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1442148 + ... + 1442460.

Almost surely, 2^451441152 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 451441152

451441152 is an abundant number, since it is smaller than the sum of its proper divisors (855624465).

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

451441152 is an frugal number, since it uses more digits than its factorization.

451441152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 318 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 451441152 is about 21247.1445610934. The cubic root of 451441152 is about 767.1266113038.

Multiplying 451441152 by its product of digits (3200), we get a square (1444611686400 = 1201920²).

The spelling of 451441152 in words is "four hundred fifty-one million, four hundred forty-one thousand, one hundred fifty-two".