814468704 has 96 divisors (see below), whose sum is σ = 2522290176. Its totient is φ = 225192960.

The previous prime is 814468703. The next prime is 814468729. The reversal of 814468704 is 407864418.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814468703) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1284 + ... + 40380.

It is an arithmetic number, because the mean of its divisors is an integer number (26273856).

Almost surely, 2^814468704 is an apocalyptic number.

814468704 is a gapful number since it is divisible by the number (84) 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 814468704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261145088).

814468704 is an abundant number, since it is smaller than the sum of its proper divisors (1707821472).

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

814468704 is a wasteful number, since it uses less digits than its factorization.

814468704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39148 (or 39140 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 814468704 is about 28538.8980866466. The cubic root of 814468704 is about 933.8808438368.

The spelling of 814468704 in words is "eight hundred fourteen million, four hundred sixty-eight thousand, seven hundred four".