460403384 has 64 divisors (see below), whose sum is σ = 1047686400. Its totient is φ = 185163264.

The previous prime is 460403357. The next prime is 460403387. The reversal of 460403384 is 483304064.

It is a self number, because there is not a number n which added to its sum of digits gives 460403384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460403387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535547 + ... + 536405.

It is an arithmetic number, because the mean of its divisors is an integer number (16370100).

Almost surely, 2^460403384 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 460403384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523843200).

460403384 is an abundant number, since it is smaller than the sum of its proper divisors (587283016).

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

460403384 is a wasteful number, since it uses less digits than its factorization.

460403384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 460403384 is about 21457.0124667904. The cubic root of 460403384 is about 772.1698419125.

The spelling of 460403384 in words is "four hundred sixty million, four hundred three thousand, three hundred eighty-four".