461458080 has 192 divisors, whose sum is σ = 1659329280. Its totient is φ = 119688192.

The previous prime is 461458061. The next prime is 461458087. The reversal of 461458080 is 80854164.

461458080 is a `hidden beast` number, since 461 + 45 + 80 + 80 = 666.

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 (461458087) 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 31 ways as a sum of consecutive naturals, for example, 158397 + ... + 161283.

It is an arithmetic number, because the mean of its divisors is an integer number (8642340).

Almost surely, 2^461458080 is an apocalyptic number.

461458080 is a gapful number since it is divisible by the number (40) 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 461458080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829664640).

461458080 is an abundant number, since it is smaller than the sum of its proper divisors (1197871200).

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

461458080 is a wasteful number, since it uses less digits than its factorization.

461458080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 461458080 is about 21481.5753612253. The cubic root of 461458080 is about 772.7590233279.

The spelling of 461458080 in words is "four hundred sixty-one million, four hundred fifty-eight thousand, eighty".