452941632 has 420 divisors, whose sum is σ = 1619804736. Its totient is φ = 124001280.

The previous prime is 452941631. The next prime is 452941649. The reversal of 452941632 is 236149254.

It is a happy number.

It is a super-2 number, since 2×452941632² = 410312243997646848, which contains 22 as substring.

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

It is an alternating number because its digits alternate between even and odd.

Its product of digits (51840) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452941631) 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, 9637033 + ... + 9637079.

Almost surely, 2^452941632 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 452941632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809902368).

452941632 is an abundant number, since it is smaller than the sum of its proper divisors (1166863104).

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

452941632 is a wasteful number, since it uses less digits than its factorization.

452941632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 452941632 is about 21282.4254256887. The cubic root of 452941632 is about 767.9755851614.

The spelling of 452941632 in words is "four hundred fifty-two million, nine hundred forty-one thousand, six hundred thirty-two".