452409242664960 has 5040 divisors, whose sum is σ = 2038150600012800. Its totient is φ = 95786162454528.

The previous prime is 452409242664959. The next prime is 452409242664961. The reversal of 452409242664960 is 69466242904254.

452409242664960 is a `hidden beast` number, since 4 + 5 + 2 + 4 + 0 + 92 + 426 + 64 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (452409242664959) and next prime (452409242664961).

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452409242664961) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 4392322744269 + ... + 4392322744371.

It is an arithmetic number, because the mean of its divisors is an integer number (404394960320).

Almost surely, 2^{452409242664960} is an apocalyptic number.

452409242664960 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 452409242664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019075300006400).

452409242664960 is an abundant number, since it is smaller than the sum of its proper divisors (1585741357347840).

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

452409242664960 is an equidigital number, since it uses as much as digits as its factorization.

452409242664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 63.

The spelling of 452409242664960 in words is "four hundred fifty-two trillion, four hundred nine billion, two hundred forty-two million, six hundred sixty-four thousand, nine hundred sixty".