452468540160 has 3240 divisors, whose sum is σ = 2228978860416. Its totient is φ = 86951854080.

The previous prime is 452468540159. The next prime is 452468540171. The reversal of 452468540160 is 61045864254.

It is a happy number.

452468540160 is a `hidden beast` number, since 4 + 5 + 2 + 46 + 8 + 540 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 14595759345 + ... + 14595759375.

Almost surely, 2^452468540160 is an apocalyptic number.

452468540160 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 452468540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114489430208).

452468540160 is an abundant number, since it is smaller than the sum of its proper divisors (1776510320256).

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

452468540160 is a wasteful number, since it uses less digits than its factorization.

452468540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 452468540160 in words is "four hundred fifty-two billion, four hundred sixty-eight million, five hundred forty thousand, one hundred sixty".