814440000 has 280 divisors, whose sum is σ = 2942283168. Its totient is φ = 197120000.

The previous prime is 814439987. The next prime is 814440013. The reversal of 814440000 is 44418.

It is an interprime number because it is at equal distance from previous prime (814439987) and next prime (814440013).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1319692 + ... + 1320308.

Almost surely, 2^814440000 is an apocalyptic number.

814440000 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 814440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471141584).

814440000 is an abundant number, since it is smaller than the sum of its proper divisors (2127843168).

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

814440000 is a wasteful number, since it uses less digits than its factorization.

814440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 814440000 is about 28538.3951896388. The cubic root of 814440000 is about 933.8698729096.

Adding to 814440000 its reverse (44418), we get a palindrome (814484418).

The spelling of 814440000 in words is "eight hundred fourteen million, four hundred forty thousand".