460993780 has 48 divisors (see below), whose sum is σ = 1048126464. Its totient is φ = 169303680.

The previous prime is 460993769. The next prime is 460993781. The reversal of 460993780 is 87399064.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 460993780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460993781) 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 15 ways as a sum of consecutive naturals, for example, 45019 + ... + 54301.

It is an arithmetic number, because the mean of its divisors is an integer number (21835968).

Almost surely, 2^460993780 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 460993780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524063232).

460993780 is an abundant number, since it is smaller than the sum of its proper divisors (587132684).

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

460993780 is a wasteful number, since it uses less digits than its factorization.

460993780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9496 (or 9494 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 460993780 is about 21470.7657059547. The cubic root of 460993780 is about 772.4997636527.

It can be divided in two parts, 4609 and 93780, that added together give a palindrome (98389).

The spelling of 460993780 in words is "four hundred sixty million, nine hundred ninety-three thousand, seven hundred eighty".