461982528 has 280 divisors, whose sum is σ = 1622755200. Its totient is φ = 127153152.

The previous prime is 461982527. The next prime is 461982529. The reversal of 461982528 is 825289164.

461982528 is a `hidden beast` number, since 4 + 619 + 8 + 2 + 5 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (461982527) and next prime (461982529).

Its product of digits (276480) is a multiple of the sum of its prime divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461982523) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1052133 + ... + 1052571.

Almost surely, 2^461982528 is an apocalyptic number.

461982528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461982528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811377600).

461982528 is an abundant number, since it is smaller than the sum of its proper divisors (1160772672).

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

461982528 is a wasteful number, since it uses less digits than its factorization.

461982528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 480 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 461982528 is about 21493.7788208588. The cubic root of 461982528 is about 773.0516598698.

The spelling of 461982528 in words is "four hundred sixty-one million, nine hundred eighty-two thousand, five hundred twenty-eight".