452037922560 has 1152 divisors, whose sum is σ = 1930184847360. Its totient is φ = 97943814144.

The previous prime is 452037922487. The next prime is 452037922577. The reversal of 452037922560 is 65229730254.

452037922560 is a `hidden beast` number, since 4 + 5 + 20 + 379 + 2 + 256 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 762289624 + ... + 762290216.

It is an arithmetic number, because the mean of its divisors is an integer number (1675507680).

Almost surely, 2^452037922560 is an apocalyptic number.

452037922560 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 452037922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965092423680).

452037922560 is an abundant number, since it is smaller than the sum of its proper divisors (1478146924800).

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

452037922560 is a wasteful number, since it uses less digits than its factorization.

452037922560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 452037922560 in words is "four hundred fifty-two billion, thirty-seven million, nine hundred twenty-two thousand, five hundred sixty".