452405750286000 has 960 divisors, whose sum is σ = 1801737331430400. Its totient is φ = 97323893452800.

The previous prime is 452405750285987. The next prime is 452405750286047. The reversal of 452405750286000 is 682057504254.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1714182051 + ... + 1714445949.

It is an arithmetic number, because the mean of its divisors is an integer number (1876809720240).

Almost surely, 2^{452405750286000} is an apocalyptic number.

452405750286000 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 452405750286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900868665715200).

452405750286000 is an abundant number, since it is smaller than the sum of its proper divisors (1349331581144400).

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

452405750286000 is an equidigital number, since it uses as much as digits as its factorization.

452405750286000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263977 (or 263933 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 452405750286000 in words is "four hundred fifty-two trillion, four hundred five billion, seven hundred fifty million, two hundred eighty-six thousand".