469531400448 has 576 divisors, whose sum is σ = 1499389968384. Its totient is φ = 128778240000.

The previous prime is 469531400357. The next prime is 469531400461. The reversal of 469531400448 is 844004135964.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 469531400397 and 469531400406.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1170901048 + ... + 1170901448.

It is an arithmetic number, because the mean of its divisors is an integer number (2603107584).

Almost surely, 2^469531400448 is an apocalyptic number.

469531400448 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 469531400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749694984192).

469531400448 is an abundant number, since it is smaller than the sum of its proper divisors (1029858567936).

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

469531400448 is a wasteful number, since it uses less digits than its factorization.

469531400448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 469531400448 in words is "four hundred sixty-nine billion, five hundred thirty-one million, four hundred thousand, four hundred forty-eight".