459891960 has 192 divisors, whose sum is σ = 1597276800. Its totient is φ = 105557760.

The previous prime is 459891919. The next prime is 459891967. The reversal of 459891960 is 69198954.

459891960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459891960² = 423001229745283200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459891967) 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, 275047 + ... + 276713.

It is an arithmetic number, because the mean of its divisors is an integer number (8319150).

Almost surely, 2^459891960 is an apocalyptic number.

459891960 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 459891960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798638400).

459891960 is an abundant number, since it is smaller than the sum of its proper divisors (1137384840).

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

459891960 is a wasteful number, since it uses less digits than its factorization.

459891960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The square root of 459891960 is about 21445.0917461316. The cubic root of 459891960 is about 771.8838227996.

The spelling of 459891960 in words is "four hundred fifty-nine million, eight hundred ninety-one thousand, nine hundred sixty".