461518848 has 288 divisors, whose sum is σ = 1575756000. Its totient is φ = 130056192.

The previous prime is 461518829. The next prime is 461518853. The reversal of 461518848 is 848815164.

461518848 is a `hidden beast` number, since 461 + 5 + 188 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6322140 + ... + 6322212.

It is an arithmetic number, because the mean of its divisors is an integer number (5471375).

Almost surely, 2^461518848 is an apocalyptic number.

461518848 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 461518848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787878000).

461518848 is an abundant number, since it is smaller than the sum of its proper divisors (1114237152).

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

461518848 is an equidigital number, since it uses as much as digits as its factorization.

461518848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 85 counting only the distinct ones).

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

The square root of 461518848 is about 21482.9897360679. The cubic root of 461518848 is about 772.7929425947.

The spelling of 461518848 in words is "four hundred sixty-one million, five hundred eighteen thousand, eight hundred forty-eight".