461138664 has 128 divisors (see below), whose sum is σ = 1406592000. Its totient is φ = 123047424.

The previous prime is 461138633. The next prime is 461138687. The reversal of 461138664 is 466831164.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232027 + ... + 234005.

It is an arithmetic number, because the mean of its divisors is an integer number (10989000).

Almost surely, 2^461138664 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 461138664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703296000).

461138664 is an abundant number, since it is smaller than the sum of its proper divisors (945453336).

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

461138664 is a wasteful number, since it uses less digits than its factorization.

461138664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2083 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 461138664 is about 21474.1394239676. The cubic root of 461138664 is about 772.5806838570.

The spelling of 461138664 in words is "four hundred sixty-one million, one hundred thirty-eight thousand, six hundred sixty-four".