814162272 has 192 divisors, whose sum is σ = 2698665984. Its totient is φ = 208765440.

The previous prime is 814162259. The next prime is 814162273. The reversal of 814162272 is 272261418.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814162273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612873 + ... + 614199.

It is an arithmetic number, because the mean of its divisors is an integer number (14055552).

Almost surely, 2^814162272 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 814162272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349332992).

814162272 is an abundant number, since it is smaller than the sum of its proper divisors (1884503712).

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

814162272 is a wasteful number, since it uses less digits than its factorization.

814162272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1433 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 814162272 is about 28533.5289089871. The cubic root of 814162272 is about 933.7637094521.

The spelling of 814162272 in words is "eight hundred fourteen million, one hundred sixty-two thousand, two hundred seventy-two".