460803840 has 432 divisors, whose sum is σ = 1789562880. Its totient is φ = 100638720.

The previous prime is 460803757. The next prime is 460803841. The reversal of 460803840 is 48308064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460803841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5832921 + ... + 5832999.

Almost surely, 2^460803840 is an apocalyptic number.

460803840 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 460803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894781440).

460803840 is an abundant number, since it is smaller than the sum of its proper divisors (1328759040).

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

460803840 is a wasteful number, since it uses less digits than its factorization.

460803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 460803840 is about 21466.3420265307. The cubic root of 460803840 is about 772.3936532105.

The spelling of 460803840 in words is "four hundred sixty million, eight hundred three thousand, eight hundred forty".