8210465280 has 240 divisors, whose sum is σ = 28541994624. Its totient is φ = 2181242880.

The previous prime is 8210465233. The next prime is 8210465281. The reversal of 8210465280 is 825640128.

8210465280 is a `hidden beast` number, since 82 + 10 + 46 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×8210465280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8210465281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8455195 + ... + 8456165.

Almost surely, 2^8210465280 is an apocalyptic number.

8210465280 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 8210465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14270997312).

8210465280 is an abundant number, since it is smaller than the sum of its proper divisors (20331529344).

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

8210465280 is a wasteful number, since it uses less digits than its factorization.

8210465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8210465280 is about 90611.6177981610. The cubic root of 8210465280 is about 2017.3871783162.

The spelling of 8210465280 in words is "eight billion, two hundred ten million, four hundred sixty-five thousand, two hundred eighty".