814348400 has 60 divisors (see below), whose sum is σ = 1971533784. Its totient is φ = 323232000.

The previous prime is 814348387. The next prime is 814348421. The reversal of 814348400 is 4843418.

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 11 ways as a sum of consecutive naturals, for example, 44630 + ... + 60170.

Almost surely, 2^814348400 is an apocalyptic number.

814348400 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 814348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985766892).

814348400 is an abundant number, since it is smaller than the sum of its proper divisors (1157185384).

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

814348400 is a wasteful number, since it uses less digits than its factorization.

814348400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15690 (or 15679 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 814348400 is about 28536.7902890287. The cubic root of 814348400 is about 933.8348608410.

The spelling of 814348400 in words is "eight hundred fourteen million, three hundred forty-eight thousand, four hundred".