452689600000 has 720 divisors, whose sum is σ = 1324860047280. Its totient is φ = 153190400000.

The previous prime is 452689599997. The next prime is 452689600007. The reversal of 452689600000 is 6986254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452689600007) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 5086399956 + ... + 5086400044.

It is an arithmetic number, because the mean of its divisors is an integer number (1840083399).

Almost surely, 2^452689600000 is an apocalyptic number.

452689600000 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 452689600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662430023640).

452689600000 is an abundant number, since it is smaller than the sum of its proper divisors (872170447280).

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

452689600000 is an frugal number, since it uses more digits than its factorization.

452689600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 452689600000 in words is "four hundred fifty-two billion, six hundred eighty-nine million, six hundred thousand".