8452874880 has 480 divisors, whose sum is σ = 31259941020. Its totient is φ = 2176450560.

The previous prime is 8452874867. The next prime is 8452874887. The reversal of 8452874880 is 884782548.

8452874880 is a `hidden beast` number, since 84 + 5 + 2 + 87 + 488 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 131056704 + 8321818176 = 11448^2 + 91224^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8452874887) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 87142992 + ... + 87143088.

Almost surely, 2^8452874880 is an apocalyptic number.

8452874880 is a gapful number since it is divisible by the number (80) 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 8452874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15629970510).

8452874880 is an abundant number, since it is smaller than the sum of its proper divisors (22807066140).

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

8452874880 is an equidigital number, since it uses as much as digits as its factorization.

8452874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The square root of 8452874880 is about 91939.5175101545. The cubic root of 8452874880 is about 2037.0490204908.

The spelling of 8452874880 in words is "eight billion, four hundred fifty-two million, eight hundred seventy-four thousand, eight hundred eighty".