845226900 has 216 divisors, whose sum is σ = 3140562880. Its totient is φ = 193155840.

The previous prime is 845226841. The next prime is 845226901. The reversal of 845226900 is 9622548.

It is a happy number.

It is a super-2 number, since 2×845226900² = 1428817024967220000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845226901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167616 + ... + 172584.

Almost surely, 2^845226900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845226900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570281440).

845226900 is an abundant number, since it is smaller than the sum of its proper divisors (2295335980).

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

845226900 is a wasteful number, since it uses less digits than its factorization.

845226900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 845226900 is about 29072.7862441838. The cubic root of 845226900 is about 945.4918074957.

The spelling of 845226900 in words is "eight hundred forty-five million, two hundred twenty-six thousand, nine hundred".