461381008 has 40 divisors (see below), whose sum is σ = 979464096. Its totient is φ = 208800000.

The previous prime is 461380993. The next prime is 461381017. The reversal of 461381008 is 800183164.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35383 + ... + 46633.

Almost surely, 2^461381008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461381008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489732048).

461381008 is an abundant number, since it is smaller than the sum of its proper divisors (518083088).

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

461381008 is a wasteful number, since it uses less digits than its factorization.

461381008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11503 (or 11497 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 461381008 is about 21479.7813769135. The cubic root of 461381008 is about 772.7159992685.

The spelling of 461381008 in words is "four hundred sixty-one million, three hundred eighty-one thousand, eight".