461868752 has 40 divisors (see below), whose sum is σ = 932321280. Its totient is φ = 221408640.

The previous prime is 461868709. The next prime is 461868763. The reversal of 461868752 is 257868164.

It is a junction number, because it is equal to n+sod(n) for n = 461868697 and 461868706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49793 + ... + 58335.

It is an arithmetic number, because the mean of its divisors is an integer number (23308032).

Almost surely, 2^461868752 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 461868752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466160640).

461868752 is an abundant number, since it is smaller than the sum of its proper divisors (470452528).

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

461868752 is a wasteful number, since it uses less digits than its factorization.

461868752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8691 (or 8685 counting only the distinct ones).

The product of its digits is 645120, while the sum is 47.

The square root of 461868752 is about 21491.1319385462. The cubic root of 461868752 is about 772.9881928613.

The spelling of 461868752 in words is "four hundred sixty-one million, eight hundred sixty-eight thousand, seven hundred fifty-two".