461261528 has 64 divisors (see below), whose sum is σ = 1082592000. Its totient is φ = 179367552.

The previous prime is 461261497. The next prime is 461261531. The reversal of 461261528 is 825162164.

It is a Cunningham number, because it is equal to 21477²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37583 + ... + 48321.

It is an arithmetic number, because the mean of its divisors is an integer number (16915500).

Almost surely, 2^461261528 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 461261528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541296000).

461261528 is an abundant number, since it is smaller than the sum of its proper divisors (621330472).

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

461261528 is a wasteful number, since it uses less digits than its factorization.

461261528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10824 (or 10820 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 461261528 is about 21476.9999767193. Note that the first 4 decimals coincide. The cubic root of 461261528 is about 772.6492922327.

The spelling of 461261528 in words is "four hundred sixty-one million, two hundred sixty-one thousand, five hundred twenty-eight".