469311832440 has 640 divisors, whose sum is σ = 1890197337600. Its totient is φ = 103094830080.

The previous prime is 469311832397. The next prime is 469311832447. The reversal of 469311832440 is 44238113964.

469311832440 is a `hidden beast` number, since 4 + 6 + 9 + 311 + 8 + 324 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469311832447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15559614 + ... + 15589746.

It is an arithmetic number, because the mean of its divisors is an integer number (2953433340).

Almost surely, 2^469311832440 is an apocalyptic number.

469311832440 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 469311832440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945098668800).

469311832440 is an abundant number, since it is smaller than the sum of its proper divisors (1420885505160).

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

469311832440 is a wasteful number, since it uses less digits than its factorization.

469311832440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30209 (or 30196 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 469311832440 in words is "four hundred sixty-nine billion, three hundred eleven million, eight hundred thirty-two thousand, four hundred forty".