814385376 has 288 divisors, whose sum is σ = 2782660608. Its totient is φ = 221045760.

The previous prime is 814385303. The next prime is 814385387. The reversal of 814385376 is 673583418.

814385376 is a `hidden beast` number, since 81 + 4 + 38 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×814385376² = 1326447081285322752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5187090 + ... + 5187246.

It is an arithmetic number, because the mean of its divisors is an integer number (9662016).

Almost surely, 2^814385376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814385376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391330304).

814385376 is an abundant number, since it is smaller than the sum of its proper divisors (1968275232).

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

814385376 is a wasteful number, since it uses less digits than its factorization.

814385376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 283 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 814385376 is about 28537.4381471077. The cubic root of 814385376 is about 933.8489944130.

The spelling of 814385376 in words is "eight hundred fourteen million, three hundred eighty-five thousand, three hundred seventy-six".