814488100 has 72 divisors (see below), whose sum is σ = 1811134080. Its totient is φ = 317815680.

The previous prime is 814488091. The next prime is 814488107. The reversal of 814488100 is 1884418.

It is a happy number.

It is a super-2 number, since 2×814488100² = 1326781730083220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (814488107) 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, 1266379 + ... + 1267021.

It is an arithmetic number, because the mean of its divisors is an integer number (25154640).

Almost surely, 2^814488100 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 814488100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905567040).

814488100 is an abundant number, since it is smaller than the sum of its proper divisors (996645980).

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

814488100 is a wasteful number, since it uses less digits than its factorization.

814488100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 814488100 is about 28539.2379015278. The cubic root of 814488100 is about 933.8882570167. Note that the first 3 decimals are identical.

The spelling of 814488100 in words is "eight hundred fourteen million, four hundred eighty-eight thousand, one hundred".