461234560 has 64 divisors (see below), whose sum is σ = 1140706800. Its totient is φ = 178124800.

The previous prime is 461234551. The next prime is 461234573. The reversal of 461234560 is 65432164.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6135 + ... + 30985.

Almost surely, 2^461234560 is an apocalyptic number.

461234560 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 461234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570353400).

461234560 is an abundant number, since it is smaller than the sum of its proper divisors (679472240).

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

461234560 is a wasteful number, since it uses less digits than its factorization.

461234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24899 (or 24887 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 461234560 is about 21476.3721331141. The cubic root of 461234560 is about 772.6342340998.

The spelling of 461234560 in words is "four hundred sixty-one million, two hundred thirty-four thousand, five hundred sixty".