469968128 has 72 divisors (see below), whose sum is σ = 1135253952. Its totient is φ = 189554688.

The previous prime is 469968127. The next prime is 469968137. The reversal of 469968128 is 821869964.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 469968128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469968127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22751 + ... + 38177.

It is an arithmetic number, because the mean of its divisors is an integer number (15767416).

Almost surely, 2^469968128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567626976).

469968128 is an abundant number, since it is smaller than the sum of its proper divisors (665285824).

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

469968128 is a wasteful number, since it uses less digits than its factorization.

469968128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15467 (or 15453 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 53.

The square root of 469968128 is about 21678.7483033500. The cubic root of 469968128 is about 777.4804345735.

It can be divided in two parts, 4699 and 68128, that added together give a palindrome (72827).

The spelling of 469968128 in words is "four hundred sixty-nine million, nine hundred sixty-eight thousand, one hundred twenty-eight".