463180257 has 12 divisors (see below), whose sum is σ = 692108820. Its totient is φ = 298138848.

The previous prime is 463180241. The next prime is 463180273. The reversal of 463180257 is 752081364.

It is an interprime number because it is at equal distance from previous prime (463180241) and next prime (463180273).

It can be written as a sum of positive squares in 2 ways, for example, as 235653201 + 227527056 = 15351^2 + 15084^2 .

It is not a de Polignac number, because 463180257 - 2⁴ = 463180241 is a prime.

It is a super-3 number, since 3×463180257³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (463180957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 887058 + ... + 887579.

It is an arithmetic number, because the mean of its divisors is an integer number (57675735).

Almost surely, 2^463180257 is an apocalyptic number.

It is an amenable number.

463180257 is a deficient number, since it is larger than the sum of its proper divisors (228928563).

463180257 is a wasteful number, since it uses less digits than its factorization.

463180257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774672 (or 1774669 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 463180257 is about 21521.6230103587. The cubic root of 463180257 is about 773.7191507540.

The spelling of 463180257 in words is "four hundred sixty-three million, one hundred eighty thousand, two hundred fifty-seven".