8246226400 has 36 divisors (see below), whose sum is σ = 20131102152. Its totient is φ = 3298490240.

The previous prime is 8246226389. The next prime is 8246226403. The reversal of 8246226400 is 46226428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8246226403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5153092 + ... + 5154691.

It is an arithmetic number, because the mean of its divisors is an integer number (559197282).

Almost surely, 2^8246226400 is an apocalyptic number.

8246226400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8246226400 is an abundant number, since it is smaller than the sum of its proper divisors (11884875752).

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

8246226400 is a wasteful number, since it uses less digits than its factorization.

8246226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10307803 (or 10307790 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 8246226400 is about 90808.7352626387. The cubic root of 8246226400 is about 2020.3118820468.

The spelling of 8246226400 in words is "eight billion, two hundred forty-six million, two hundred twenty-six thousand, four hundred".