469048320 has 528 divisors, whose sum is σ = 1877672160. Its totient is φ = 111476736.

The previous prime is 469048319. The next prime is 469048331. The reversal of 469048320 is 23840964.

It is a happy number.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16174066 + ... + 16174094.

Almost surely, 2^469048320 is an apocalyptic number.

469048320 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 469048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938836080).

469048320 is an abundant number, since it is smaller than the sum of its proper divisors (1408623840).

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

469048320 is a wasteful number, since it uses less digits than its factorization.

469048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 469048320 is about 21657.5234041199. The cubic root of 469048320 is about 776.9728825825.

The spelling of 469048320 in words is "four hundred sixty-nine million, forty-eight thousand, three hundred twenty".