469680288 has 288 divisors, whose sum is σ = 1623706560. Its totient is φ = 117411840.

The previous prime is 469680203. The next prime is 469680293. The reversal of 469680288 is 882086964.

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 469680288.

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, 1500420 + ... + 1500732.

It is an arithmetic number, because the mean of its divisors is an integer number (5637870).

Almost surely, 2^469680288 is an apocalyptic number.

469680288 is a gapful number since it is divisible by the number (48) 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 469680288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811853280).

469680288 is an abundant number, since it is smaller than the sum of its proper divisors (1154026272).

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

469680288 is a wasteful number, since it uses less digits than its factorization.

469680288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 469680288 is about 21672.1085268600. The cubic root of 469680288 is about 777.3216751041.

The spelling of 469680288 in words is "four hundred sixty-nine million, six hundred eighty thousand, two hundred eighty-eight".