469181440 has 352 divisors, whose sum is σ = 1485630720. Its totient is φ = 138018816.

The previous prime is 469181437. The next prime is 469181441. The reversal of 469181440 is 44181964.

It is a self number, because there is not a number n which added to its sum of digits gives 469181440.

It is not an unprimeable number, because it can be changed into a prime (469181441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8852454 + ... + 8852506.

Almost surely, 2^469181440 is an apocalyptic number.

469181440 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 469181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742815360).

469181440 is an abundant number, since it is smaller than the sum of its proper divisors (1016449280).

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

469181440 is a wasteful number, since it uses less digits than its factorization.

469181440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 469181440 is about 21660.5964830150. The cubic root of 469181440 is about 777.0463795212.

The spelling of 469181440 in words is "four hundred sixty-nine million, one hundred eighty-one thousand, four hundred forty".