460042464 has 48 divisors (see below), whose sum is σ = 1380129408. Its totient is φ = 131440512.

The previous prime is 460042433. The next prime is 460042469. The reversal of 460042464 is 464240064.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460042469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341622 + ... + 342965.

It is an arithmetic number, because the mean of its divisors is an integer number (28752696).

Almost surely, 2^460042464 is an apocalyptic number.

It is an amenable number.

460042464 is an abundant number, since it is smaller than the sum of its proper divisors (920086944).

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

460042464 is a wasteful number, since it uses less digits than its factorization.

460042464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684607 (or 684599 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 460042464 is about 21448.6005137864. The cubic root of 460042464 is about 771.9680157134.

The spelling of 460042464 in words is "four hundred sixty million, forty-two thousand, four hundred sixty-four".