452210331456 has 252 divisors, whose sum is σ = 1405119521988. Its totient is φ = 138227171328.

The previous prime is 452210331449. The next prime is 452210331473. The reversal of 452210331456 is 654133012254.

It can be written as a sum of positive squares in 2 ways, for example, as 239121000000 + 213089331456 = 489000^2 + 461616^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 452210331456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198947536 + ... + 198949808.

It is an arithmetic number, because the mean of its divisors is an integer number (5575871119).

Almost surely, 2^452210331456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452210331456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702559760994).

452210331456 is an abundant number, since it is smaller than the sum of its proper divisors (952909190532).

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

452210331456 is a wasteful number, since it uses less digits than its factorization.

452210331456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 452210331456 in words is "four hundred fifty-two billion, two hundred ten million, three hundred thirty-one thousand, four hundred fifty-six".