452964408 has 128 divisors (see below), whose sum is σ = 1314297600. Its totient is φ = 128894976.

The previous prime is 452964383. The next prime is 452964409. The reversal of 452964408 is 804469254.

It is a self number, because there is not a number n which added to its sum of digits gives 452964408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452964409) 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 31 ways as a sum of consecutive naturals, for example, 254016 + ... + 255792.

It is an arithmetic number, because the mean of its divisors is an integer number (10267950).

Almost surely, 2^452964408 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 452964408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657148800).

452964408 is an abundant number, since it is smaller than the sum of its proper divisors (861333192).

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

452964408 is a wasteful number, since it uses less digits than its factorization.

452964408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 452964408 is about 21282.9605083503. The cubic root of 452964408 is about 767.9884574003.

The spelling of 452964408 in words is "four hundred fifty-two million, nine hundred sixty-four thousand, four hundred eight".