463157316 has 144 divisors (see below), whose sum is σ = 1283143680. Its totient is φ = 140313600.

The previous prime is 463157297. The next prime is 463157363. The reversal of 463157316 is 613751364.

463157316 is a `hidden beast` number, since 4 + 631 + 5 + 7 + 3 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3646845 + ... + 3646971.

It is an arithmetic number, because the mean of its divisors is an integer number (8910720).

Almost surely, 2^463157316 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 463157316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641571840).

463157316 is an abundant number, since it is smaller than the sum of its proper divisors (819986364).

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

463157316 is a wasteful number, since it uses less digits than its factorization.

463157316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 463157316 is about 21521.0900281561. The cubic root of 463157316 is about 773.7063766171.

The spelling of 463157316 in words is "four hundred sixty-three million, one hundred fifty-seven thousand, three hundred sixteen".