452096640 has 512 divisors, whose sum is σ = 1806624000. Its totient is φ = 107495424.

The previous prime is 452096569. The next prime is 452096651. The reversal of 452096640 is 46690254.

452096640 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 9 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 452096595 and 452096604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23794551 + ... + 23794569.

Almost surely, 2^452096640 is an apocalyptic number.

452096640 is a gapful number since it is divisible by the number (40) 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 452096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903312000).

452096640 is an abundant number, since it is smaller than the sum of its proper divisors (1354527360).

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

452096640 is an equidigital number, since it uses as much as digits as its factorization.

452096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

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

The square root of 452096640 is about 21262.5642856171. The cubic root of 452096640 is about 767.4977184482.

The spelling of 452096640 in words is "four hundred fifty-two million, ninety-six thousand, six hundred forty".