461148688 has 80 divisors (see below), whose sum is σ = 1199673216. Its totient is φ = 165841920.

The previous prime is 461148683. The next prime is 461148697. The reversal of 461148688 is 886841164.

It is a super-2 number, since 2×461148688² = 425316224888242688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (461148683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1620 + ... + 30412.

Almost surely, 2^461148688 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 461148688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599836608).

461148688 is an abundant number, since it is smaller than the sum of its proper divisors (738524528).

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

461148688 is a wasteful number, since it uses less digits than its factorization.

461148688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28832 (or 28826 counting only the distinct ones).

The product of its digits is 294912, while the sum is 46.

The square root of 461148688 is about 21474.3728197123. The cubic root of 461148688 is about 772.5862818064.

The spelling of 461148688 in words is "four hundred sixty-one million, one hundred forty-eight thousand, six hundred eighty-eight".