461626857 has 42 divisors (see below), whose sum is σ = 736653582. Its totient is φ = 288147456.

The previous prime is 461626853. The next prime is 461626889. The reversal of 461626857 is 758626164.

461626857 is a `hidden beast` number, since 4 + 616 + 26 + 8 + 5 + 7 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 32764176 + 428862681 = 5724^2 + 20709^2 .

It is not a de Polignac number, because 461626857 - 2² = 461626853 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461626853) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2391753 + ... + 2391945.

It is an arithmetic number, because the mean of its divisors is an integer number (17539371).

Almost surely, 2^461626857 is an apocalyptic number.

It is an amenable number.

461626857 is a deficient number, since it is larger than the sum of its proper divisors (275026725).

461626857 is an frugal number, since it uses more digits than its factorization.

461626857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 213 counting only the distinct ones).

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

The square root of 461626857 is about 21485.5034150936. The cubic root of 461626857 is about 772.8532233270.

The spelling of 461626857 in words is "four hundred sixty-one million, six hundred twenty-six thousand, eight hundred fifty-seven".