460780920 has 128 divisors (see below), whose sum is σ = 1626350400. Its totient is φ = 115642368.

The previous prime is 460780907. The next prime is 460780921. The reversal of 460780920 is 29087064.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460780921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5812 + ... + 30908.

Almost surely, 2^460780920 is an apocalyptic number.

460780920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460780920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813175200).

460780920 is an abundant number, since it is smaller than the sum of its proper divisors (1165569480).

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

460780920 is a wasteful number, since it uses less digits than its factorization.

460780920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25134 (or 25124 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 460780920 is about 21465.8081608869. The cubic root of 460780920 is about 772.3808469254.

The spelling of 460780920 in words is "four hundred sixty million, seven hundred eighty thousand, nine hundred twenty".