461748609 has 36 divisors (see below), whose sum is σ = 777578724. Its totient is φ = 263273472.

The previous prime is 461748607. The next prime is 461748613. The reversal of 461748609 is 906847164.

It can be written as a sum of positive squares in 2 ways, for example, as 225450225 + 236298384 = 15015^2 + 15372^2 .

It is not a de Polignac number, because 461748609 - 2¹ = 461748607 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461748607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 271249 + ... + 272945.

It is an arithmetic number, because the mean of its divisors is an integer number (21599409).

Almost surely, 2^461748609 is an apocalyptic number.

461748609 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

461748609 is a deficient number, since it is larger than the sum of its proper divisors (315830115).

461748609 is a wasteful number, since it uses less digits than its factorization.

461748609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 461748609 is about 21488.3365805732. The cubic root of 461748609 is about 772.9211628709.

The spelling of 461748609 in words is "four hundred sixty-one million, seven hundred forty-eight thousand, six hundred nine".