461152160 has 48 divisors (see below), whose sum is σ = 1245113856. Its totient is φ = 158108928.

The previous prime is 461152157. The next prime is 461152199. The reversal of 461152160 is 61251164.

It is a super-2 number, since 2×461152160² = 425322629345331200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 204752 + ... + 206991.

It is an arithmetic number, because the mean of its divisors is an integer number (25939872).

Almost surely, 2^461152160 is an apocalyptic number.

461152160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461152160 is an abundant number, since it is smaller than the sum of its proper divisors (783961696).

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

461152160 is a wasteful number, since it uses less digits than its factorization.

461152160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411765 (or 411757 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 461152160 is about 21474.4536601051. The cubic root of 461152160 is about 772.5882207420.

The spelling of 461152160 in words is "four hundred sixty-one million, one hundred fifty-two thousand, one hundred sixty".