461733008 has 40 divisors (see below), whose sum is σ = 978151680. Its totient is φ = 209402240.

The previous prime is 461733001. The next prime is 461733017. The reversal of 461733008 is 800337164.

It is not an unprimeable number, because it can be changed into a prime (461733001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81566 + ... + 87042.

It is an arithmetic number, because the mean of its divisors is an integer number (24453792).

Almost surely, 2^461733008 is an apocalyptic number.

It is an amenable number.

461733008 is an abundant number, since it is smaller than the sum of its proper divisors (516418672).

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

461733008 is a wasteful number, since it uses less digits than its factorization.

461733008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5975 (or 5969 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 461733008 is about 21487.9735666256. The cubic root of 461733008 is about 772.9124579330.

The spelling of 461733008 in words is "four hundred sixty-one million, seven hundred thirty-three thousand, eight".