469820160 has 216 divisors, whose sum is σ = 1721865600. Its totient is φ = 117866496.

The previous prime is 469820137. The next prime is 469820161. The reversal of 469820160 is 61028964.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (469820161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194641 + ... + 197039.

It is an arithmetic number, because the mean of its divisors is an integer number (7971600).

Almost surely, 2^469820160 is an apocalyptic number.

469820160 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 469820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860932800).

469820160 is an abundant number, since it is smaller than the sum of its proper divisors (1252045440).

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

469820160 is a wasteful number, since it uses less digits than its factorization.

469820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 469820160 is about 21675.3352915243. The cubic root of 469820160 is about 777.3988302449.

The spelling of 469820160 in words is "four hundred sixty-nine million, eight hundred twenty thousand, one hundred sixty".