469848960 has 384 divisors, whose sum is σ = 1904348160. Its totient is φ = 104509440.

The previous prime is 469848959. The next prime is 469848997. The reversal of 469848960 is 69848964.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 469848897 and 469848906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1733625 + ... + 1733895.

It is an arithmetic number, because the mean of its divisors is an integer number (4959240).

Almost surely, 2^469848960 is an apocalyptic number.

469848960 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 469848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952174080).

469848960 is an abundant number, since it is smaller than the sum of its proper divisors (1434499200).

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

469848960 is a wasteful number, since it uses less digits than its factorization.

469848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 469848960 is about 21675.9996309282. Note that the first 3 decimals coincide. The cubic root of 469848960 is about 777.4147147831.

The spelling of 469848960 in words is "four hundred sixty-nine million, eight hundred forty-eight thousand, nine hundred sixty".