452460440511200 has 288 divisors, whose sum is σ = 1209042027607680. Its totient is φ = 163977811200000.

The previous prime is 452460440511179. The next prime is 452460440511281. The reversal of 452460440511200 is 2115044064254.

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, 3775131275 + ... + 3775251125.

It is an arithmetic number, because the mean of its divisors is an integer number (4198062595860).

Almost surely, 2^{452460440511200} is an apocalyptic number.

452460440511200 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 452460440511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604521013803840).

452460440511200 is an abundant number, since it is smaller than the sum of its proper divisors (756581587096480).

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

452460440511200 is a wasteful number, since it uses less digits than its factorization.

452460440511200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121322 (or 121309 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

Adding to 452460440511200 its reverse (2115044064254), we get a palindrome (454575484575454).

The spelling of 452460440511200 in words is "four hundred fifty-two trillion, four hundred sixty billion, four hundred forty million, five hundred eleven thousand, two hundred".