814445280 has 480 divisors, whose sum is σ = 3260204640. Its totient is φ = 189665280.

The previous prime is 814445239. The next prime is 814445293. The reversal of 814445280 is 82544418.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×814445280² = 1326642228228556800, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4134142 + ... + 4134338.

It is an arithmetic number, because the mean of its divisors is an integer number (6792093).

Almost surely, 2^814445280 is an apocalyptic number.

814445280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814445280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630102320).

814445280 is an abundant number, since it is smaller than the sum of its proper divisors (2445759360).

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

814445280 is a wasteful number, since it uses less digits than its factorization.

814445280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 814445280 is about 28538.4876964425. The cubic root of 814445280 is about 933.8718909925.

Adding to 814445280 its reverse (82544418), we get a palindrome (896989698).

The spelling of 814445280 in words is "eight hundred fourteen million, four hundred forty-five thousand, two hundred eighty".