806373414 has 256 divisors, whose sum is σ = 2405376000. Its totient is φ = 193933440.

The previous prime is 806373409. The next prime is 806373437. The reversal of 806373414 is 414373608.

806373414 is a `hidden beast` number, since 8 + 0 + 637 + 3 + 4 + 14 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4661032 + ... + 4661204.

It is an arithmetic number, because the mean of its divisors is an integer number (9396000).

Almost surely, 2^806373414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806373414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202688000).

806373414 is an abundant number, since it is smaller than the sum of its proper divisors (1599002586).

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

806373414 is a wasteful number, since it uses less digits than its factorization.

806373414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 806373414 is about 28396.7148452070. The cubic root of 806373414 is about 930.7764795097.

The spelling of 806373414 in words is "eight hundred six million, three hundred seventy-three thousand, four hundred fourteen".