461875248 has 60 divisors (see below), whose sum is σ = 1299384840. Its totient is φ = 153151488.

The previous prime is 461875217. The next prime is 461875273. The reversal of 461875248 is 842578164.

461875248 is a `hidden beast` number, since 4 + 618 + 7 + 5 + 24 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19483 + ... + 36101.

It is an arithmetic number, because the mean of its divisors is an integer number (21656414).

Almost surely, 2^461875248 is an apocalyptic number.

461875248 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 461875248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649692420).

461875248 is an abundant number, since it is smaller than the sum of its proper divisors (837509592).

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

461875248 is a wasteful number, since it uses less digits than its factorization.

461875248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16826 (or 16817 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 461875248 is about 21491.2830701194. The cubic root of 461875248 is about 772.9918167680.

The spelling of 461875248 in words is "four hundred sixty-one million, eight hundred seventy-five thousand, two hundred forty-eight".