814355010 has 144 divisors (see below), whose sum is σ = 2592907200. Its totient is φ = 176323392.

The previous prime is 814354979. The next prime is 814355011. The reversal of 814355010 is 10553418.

It is a super-3 number, since 3×814355010³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (814355011) 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, 78931 + ... + 88649.

It is an arithmetic number, because the mean of its divisors is an integer number (18006300).

Almost surely, 2^814355010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814355010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296453600).

814355010 is an abundant number, since it is smaller than the sum of its proper divisors (1778552190).

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

814355010 is a wasteful number, since it uses less digits than its factorization.

814355010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9765 (or 9755 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 814355010 is about 28536.9061042013. The cubic root of 814355010 is about 933.8373874548.

The spelling of 814355010 in words is "eight hundred fourteen million, three hundred fifty-five thousand, ten".