460947060 has 144 divisors (see below), whose sum is σ = 1649636352. Its totient is φ = 101952000.

The previous prime is 460947041. The next prime is 460947077. The reversal of 460947060 is 60749064.

460947060 is a `hidden beast` number, since 4 + 609 + 47 + 0 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33160 + ... + 44960.

It is an arithmetic number, because the mean of its divisors is an integer number (11455808).

Almost surely, 2^460947060 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 460947060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824818176).

460947060 is an abundant number, since it is smaller than the sum of its proper divisors (1188689292).

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

460947060 is a wasteful number, since it uses less digits than its factorization.

460947060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11854 (or 11849 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 460947060 is about 21469.6776873804. The cubic root of 460947060 is about 772.4736661146.

The spelling of 460947060 in words is "four hundred sixty million, nine hundred forty-seven thousand, sixty".