461889504 has 72 divisors (see below), whose sum is σ = 1317672720. Its totient is φ = 153474048.

The previous prime is 461889503. The next prime is 461889509. The reversal of 461889504 is 405988164.

461889504 is a `hidden beast` number, since 4 + 61 + 8 + 89 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 461889504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461889503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94677 + ... + 99435.

It is an arithmetic number, because the mean of its divisors is an integer number (18301010).

Almost surely, 2^461889504 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 461889504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658836360).

461889504 is an abundant number, since it is smaller than the sum of its proper divisors (855783216).

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

461889504 is a wasteful number, since it uses less digits than its factorization.

461889504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5101 counting only the distinct ones).

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

The square root of 461889504 is about 21491.6147369154. The cubic root of 461889504 is about 772.9997696067. Note that the first 3 decimals are identical.

The spelling of 461889504 in words is "four hundred sixty-one million, eight hundred eighty-nine thousand, five hundred four".