460213744 has 40 divisors (see below), whose sum is σ = 946970640. Its totient is φ = 216050688.

The previous prime is 460213729. The next prime is 460213759. The reversal of 460213744 is 447312064.

It is an interprime number because it is at equal distance from previous prime (460213729) and next prime (460213759).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27654 + ... + 41050.

It is an arithmetic number, because the mean of its divisors is an integer number (23674266).

Almost surely, 2^460213744 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 460213744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473485320).

460213744 is an abundant number, since it is smaller than the sum of its proper divisors (486756896).

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

460213744 is a wasteful number, since it uses less digits than its factorization.

460213744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13537 (or 13531 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 460213744 is about 21452.5929435115. The cubic root of 460213744 is about 772.0638085195.

The spelling of 460213744 in words is "four hundred sixty million, two hundred thirteen thousand, seven hundred forty-four".