461626160 has 80 divisors (see below), whose sum is σ = 1142846496. Its totient is φ = 172806144.

The previous prime is 461626159. The next prime is 461626183. The reversal of 461626160 is 61626164.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267059 + ... + 268781.

Almost surely, 2^461626160 is an apocalyptic number.

461626160 is a gapful number since it is divisible by the number (40) 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 461626160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571423248).

461626160 is an abundant number, since it is smaller than the sum of its proper divisors (681220336).

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

461626160 is a wasteful number, since it uses less digits than its factorization.

461626160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 461626160 is about 21485.4871948485. The cubic root of 461626160 is about 772.8528343556.

The spelling of 461626160 in words is "four hundred sixty-one million, six hundred twenty-six thousand, one hundred sixty".