452090810880 has 480 divisors, whose sum is σ = 1586432390400. Its totient is φ = 118974873600.

The previous prime is 452090810879. The next prime is 452090810923. The reversal of 452090810880 is 88018090254.

It is a happy number.

452090810880 is a `hidden beast` number, since 452 + 0 + 90 + 8 + 108 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×452090810880² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 692328634 + ... + 692329286.

It is an arithmetic number, because the mean of its divisors is an integer number (3305067480).

Almost surely, 2^452090810880 is an apocalyptic number.

452090810880 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 452090810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793216195200).

452090810880 is an abundant number, since it is smaller than the sum of its proper divisors (1134341579520).

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

452090810880 is a wasteful number, since it uses less digits than its factorization.

452090810880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 452090810880 in words is "four hundred fifty-two billion, ninety million, eight hundred ten thousand, eight hundred eighty".