813814408 has 32 divisors (see below), whose sum is σ = 1709616960. Its totient is φ = 359916480.

The previous prime is 813814399. The next prime is 813814409. The reversal of 813814408 is 804418318.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (813814409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121716 + ... + 128227.

It is an arithmetic number, because the mean of its divisors is an integer number (53425530).

Almost surely, 2^813814408 is an apocalyptic number.

813814408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

813814408 is an abundant number, since it is smaller than the sum of its proper divisors (895802552).

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

813814408 is a wasteful number, since it uses less digits than its factorization.

813814408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249997 (or 249993 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 813814408 is about 28527.4325518438. The cubic root of 813814408 is about 933.6307019576.

The spelling of 813814408 in words is "eight hundred thirteen million, eight hundred fourteen thousand, four hundred eight".