469834560 has 448 divisors, whose sum is σ = 1843430400. Its totient is φ = 111919104.

The previous prime is 469834553. The next prime is 469834571. The reversal of 469834560 is 65438964.

469834560 is a `hidden beast` number, since 4 + 6 + 9 + 83 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5278996 + ... + 5279084.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 2^469834560 is an apocalyptic number.

469834560 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 469834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921715200).

469834560 is an abundant number, since it is smaller than the sum of its proper divisors (1373595840).

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

469834560 is a wasteful number, since it uses less digits than its factorization.

469834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 469834560 is about 21675.6674637714. The cubic root of 469834560 is about 777.4067725951.

The spelling of 469834560 in words is "four hundred sixty-nine million, eight hundred thirty-four thousand, five hundred sixty".