814030400 has 84 divisors (see below), whose sum is σ = 2052043140. Its totient is φ = 317644800.

The previous prime is 814030391. The next prime is 814030439. The reversal of 814030400 is 4030418.

It can be written as a sum of positive squares in 6 ways, for example, as 365268544 + 448761856 = 19112^2 + 21184^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59396 + ... + 71804.

It is an arithmetic number, because the mean of its divisors is an integer number (24429085).

Almost surely, 2^814030400 is an apocalyptic number.

814030400 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 814030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026021570).

814030400 is an abundant number, since it is smaller than the sum of its proper divisors (1238012740).

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

814030400 is a wasteful number, since it uses less digits than its factorization.

814030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12472 (or 12457 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 814030400 is about 28531.2179901244. The cubic root of 814030400 is about 933.7132920104.

Adding to 814030400 its reverse (4030418), we get a palindrome (818060818).

The spelling of 814030400 in words is "eight hundred fourteen million, thirty thousand, four hundred".