461881728 has 384 divisors, whose sum is σ = 1710858240. Its totient is φ = 116121600.

The previous prime is 461881727. The next prime is 461881729. The reversal of 461881728 is 827188164.

461881728 is a `hidden beast` number, since 4 + 618 + 8 + 1 + 7 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (461881727) and next prime (461881729).

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461881727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3636801 + ... + 3636927.

It is an arithmetic number, because the mean of its divisors is an integer number (4455360).

Almost surely, 2^461881728 is an apocalyptic number.

461881728 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 461881728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855429120).

461881728 is an abundant number, since it is smaller than the sum of its proper divisors (1248976512).

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

461881728 is a wasteful number, since it uses less digits than its factorization.

461881728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 461881728 is about 21491.4338283885. The cubic root of 461881728 is about 772.9954317149.

The spelling of 461881728 in words is "four hundred sixty-one million, eight hundred eighty-one thousand, seven hundred twenty-eight".