461746928 has 80 divisors (see below), whose sum is σ = 972500256. Its totient is φ = 211599360.

The previous prime is 461746927. The next prime is 461746933. The reversal of 461746928 is 829647164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461746927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2550998 + ... + 2551178.

Almost surely, 2^461746928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461746928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486250128).

461746928 is an abundant number, since it is smaller than the sum of its proper divisors (510753328).

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

461746928 is a wasteful number, since it uses less digits than its factorization.

461746928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its digits is 580608, while the sum is 47.

The square root of 461746928 is about 21488.2974662955. The cubic root of 461746928 is about 772.9202249276.

The spelling of 461746928 in words is "four hundred sixty-one million, seven hundred forty-six thousand, nine hundred twenty-eight".