452464473600 has 720 divisors, whose sum is σ = 1662268608000. Its totient is φ = 117498101760.

The previous prime is 452464473599. The next prime is 452464473613. The reversal of 452464473600 is 6374464254.

452464473600 is a `hidden beast` number, since 4 + 5 + 246 + 4 + 47 + 360 + 0 = 666.

452464473600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 755366101 + ... + 755366699.

It is an arithmetic number, because the mean of its divisors is an integer number (2308706400).

Almost surely, 2^452464473600 is an apocalyptic number.

452464473600 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 452464473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831134304000).

452464473600 is an abundant number, since it is smaller than the sum of its proper divisors (1209804134400).

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

452464473600 is a wasteful number, since it uses less digits than its factorization.

452464473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 452464473600 in words is "four hundred fifty-two billion, four hundred sixty-four million, four hundred seventy-three thousand, six hundred".