452763648 has 224 divisors, whose sum is σ = 1415491200. Its totient is φ = 142737408.

The previous prime is 452763617. The next prime is 452763653. The reversal of 452763648 is 846367254.

452763648 is a `hidden beast` number, since 4 + 5 + 2 + 7 + 636 + 4 + 8 = 666.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5087188 + ... + 5087276.

Almost surely, 2^452763648 is an apocalyptic number.

452763648 is a gapful number since it is divisible by the number (48) 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 452763648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707745600).

452763648 is an abundant number, since it is smaller than the sum of its proper divisors (962727552).

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

452763648 is an equidigital number, since it uses as much as digits as its factorization.

452763648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 452763648 is about 21278.2435365328. The cubic root of 452763648 is about 767.8749796494.

The spelling of 452763648 in words is "four hundred fifty-two million, seven hundred sixty-three thousand, six hundred forty-eight".