452217404358720 has 8064 divisors, whose sum is σ = 2322571880079360. Its totient is φ = 78402981888000.

The previous prime is 452217404358661. The next prime is 452217404358721. The reversal of 452217404358720 is 27853404712254.

452217404358720 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 17 + 4 + 0 + 43 + 587 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (452217404358721) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 6369259216285 + ... + 6369259216355.

It is an arithmetic number, because the mean of its divisors is an integer number (288017346240).

Almost surely, 2^{452217404358720} is an apocalyptic number.

452217404358720 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 452217404358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161285940039680).

452217404358720 is an abundant number, since it is smaller than the sum of its proper divisors (1870354475720640).

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

452217404358720 is a wasteful number, since it uses less digits than its factorization.

452217404358720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 452217404358720 in words is "four hundred fifty-two trillion, two hundred seventeen billion, four hundred four million, three hundred fifty-eight thousand, seven hundred twenty".