460161064 has 48 divisors (see below), whose sum is σ = 964039860. Its totient is φ = 205708800.

The previous prime is 460161041. The next prime is 460161077.

460161064 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 460102500 + 58564 = 21450^2 + 242^2 .

It is a super-2 number, since 2×460161064² = 423496409643224192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55152 + ... + 62944.

Almost surely, 2^460161064 is an apocalyptic number.

460161064 is a gapful number since it is divisible by the number (44) 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 460161064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482019930).

460161064 is an abundant number, since it is smaller than the sum of its proper divisors (503878796).

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

460161064 is a wasteful number, since it uses less digits than its factorization.

460161064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7882 (or 7867 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 460161064 is about 21451.3650847679. The cubic root of 460161064 is about 772.0343483872.

The spelling of 460161064 in words is "four hundred sixty million, one hundred sixty-one thousand, sixty-four".