460871424 has 288 divisors, whose sum is σ = 1538396160. Its totient is φ = 135032832.

The previous prime is 460871423. The next prime is 460871473. The reversal of 460871424 is 424178064.

460871424 is a `hidden beast` number, since 4 + 608 + 7 + 1 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460871423) 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 31 ways as a sum of consecutive naturals, for example, 2066577 + ... + 2066799.

Almost surely, 2^460871424 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 460871424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769198080).

460871424 is an abundant number, since it is smaller than the sum of its proper divisors (1077524736).

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

460871424 is a wasteful number, since it uses less digits than its factorization.

460871424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 460871424 is about 21467.9161541124. The cubic root of 460871424 is about 772.4314125174.

The spelling of 460871424 in words is "four hundred sixty million, eight hundred seventy-one thousand, four hundred twenty-four".