461418048 has 168 divisors, whose sum is σ = 1627965248. Its totient is φ = 121678848.

The previous prime is 461418047. The next prime is 461418073. The reversal of 461418048 is 840814164.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (461418047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48015 + ... + 56817.

Almost surely, 2^461418048 is an apocalyptic number.

461418048 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 461418048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813982624).

461418048 is an abundant number, since it is smaller than the sum of its proper divisors (1166547200).

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

461418048 is a wasteful number, since it uses less digits than its factorization.

461418048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8841 (or 8828 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 461418048 is about 21480.6435657780. The cubic root of 461418048 is about 772.7366767810.

The spelling of 461418048 in words is "four hundred sixty-one million, four hundred eighteen thousand, forty-eight".