452894238720 has 1152 divisors, whose sum is σ = 2060577792000. Its totient is φ = 89128304640.

The previous prime is 452894238703. The next prime is 452894238743. The reversal of 452894238720 is 27832498254.

452894238720 is a `hidden beast` number, since 4 + 528 + 9 + 42 + 3 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×452894238720² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134828401 + ... + 134831759.

It is an arithmetic number, because the mean of its divisors is an integer number (1788696000).

Almost surely, 2^452894238720 is an apocalyptic number.

452894238720 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 452894238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030288896000).

452894238720 is an abundant number, since it is smaller than the sum of its proper divisors (1607683553280).

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

452894238720 is a wasteful number, since it uses less digits than its factorization.

452894238720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 452894238720 in words is "four hundred fifty-two billion, eight hundred ninety-four million, two hundred thirty-eight thousand, seven hundred twenty".