461541888 has 200 divisors, whose sum is σ = 1425980160. Its totient is φ = 148469760.

The previous prime is 461541881. The next prime is 461541911. The reversal of 461541888 is 888145164.

461541888 is a `hidden beast` number, since 461 + 5 + 4 + 188 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (461541881) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1285453 + ... + 1285811.

Almost surely, 2^461541888 is an apocalyptic number.

461541888 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 461541888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712990080).

461541888 is an abundant number, since it is smaller than the sum of its proper divisors (964438272).

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

461541888 is an equidigital number, since it uses as much as digits as its factorization.

461541888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 395 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 461541888 is about 21483.5259675874. The cubic root of 461541888 is about 772.8058022017.

The spelling of 461541888 in words is "four hundred sixty-one million, five hundred forty-one thousand, eight hundred eighty-eight".