461557314 has 48 divisors (see below), whose sum is σ = 1036327032. Its totient is φ = 148345344.

The previous prime is 461557303. The next prime is 461557391. The reversal of 461557314 is 413755164.

461557314 is a `hidden beast` number, since 4 + 615 + 5 + 7 + 31 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 445421025 + 16136289 = 21105^2 + 4017^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72192 + ... + 78324.

Almost surely, 2^461557314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461557314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518163516).

461557314 is an abundant number, since it is smaller than the sum of its proper divisors (574769718).

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

461557314 is a wasteful number, since it uses less digits than its factorization.

461557314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291 (or 6288 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 461557314 is about 21483.8849838664. The cubic root of 461557314 is about 772.8144118713.

The spelling of 461557314 in words is "four hundred sixty-one million, five hundred fifty-seven thousand, three hundred fourteen".