452511809604480 has 384 divisors, whose sum is σ = 1535528495047680. Its totient is φ = 113326232076288.

The previous prime is 452511809604359. The next prime is 452511809604509. The reversal of 452511809604480 is 84406908115254.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 452511809604480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256028757 + ... + 257790123.

It is an arithmetic number, because the mean of its divisors is an integer number (3998772122520).

Almost surely, 2^{452511809604480} is an apocalyptic number.

452511809604480 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 452511809604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767764247523840).

452511809604480 is an abundant number, since it is smaller than the sum of its proper divisors (1083016685443200).

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

452511809604480 is a wasteful number, since it uses less digits than its factorization.

452511809604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761886 (or 1761857 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 452511809604480 in words is "four hundred fifty-two trillion, five hundred eleven billion, eight hundred nine million, six hundred four thousand, four hundred eighty".