452430065376 has 384 divisors, whose sum is σ = 1408264704000. Its totient is φ = 140908211712.

The previous prime is 452430065323. The next prime is 452430065389. The reversal of 452430065376 is 673560034254.

452430065376 is a `hidden beast` number, since 4 + 524 + 3 + 0 + 0 + 6 + 53 + 76 = 666.

It is a super-2 number, since 2×452430065376² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 539248765 + ... + 539249603.

It is an arithmetic number, because the mean of its divisors is an integer number (3667356000).

Almost surely, 2^452430065376 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 452430065376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704132352000).

452430065376 is an abundant number, since it is smaller than the sum of its proper divisors (955834638624).

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

452430065376 is a wasteful number, since it uses less digits than its factorization.

452430065376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 452430065376 in words is "four hundred fifty-two billion, four hundred thirty million, sixty-five thousand, three hundred seventy-six".