460581940 has 96 divisors (see below), whose sum is σ = 1205164800. Its totient is φ = 143963136.

The previous prime is 460581889. The next prime is 460581941. The reversal of 460581940 is 49185064.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 460581940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460581941) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 149536 + ... + 152584.

It is an arithmetic number, because the mean of its divisors is an integer number (12553800).

Almost surely, 2^460581940 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 460581940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602582400).

460581940 is an abundant number, since it is smaller than the sum of its proper divisors (744582860).

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

460581940 is a wasteful number, since it uses less digits than its factorization.

460581940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 460581940 is about 21461.1728477267. The cubic root of 460581940 is about 772.2696512993.

The spelling of 460581940 in words is "four hundred sixty million, five hundred eighty-one thousand, nine hundred forty".