814160412 has 216 divisors, whose sum is σ = 2407554240. Its totient is φ = 230480640.

The previous prime is 814160407. The next prime is 814160443. The reversal of 814160412 is 214061418.

It is a happy number.

814160412 is a `hidden beast` number, since 8 + 1 + 41 + 604 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10305789 + ... + 10305867.

Almost surely, 2^814160412 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 814160412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203777120).

814160412 is an abundant number, since it is smaller than the sum of its proper divisors (1593393828).

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

814160412 is a wasteful number, since it uses less digits than its factorization.

814160412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 814160412 is about 28533.4963157339. The cubic root of 814160412 is about 933.7629983728.

The spelling of 814160412 in words is "eight hundred fourteen million, one hundred sixty thousand, four hundred twelve".