469449879600 has 960 divisors, whose sum is σ = 1819893519360. Its totient is φ = 102187008000.

The previous prime is 469449879559. The next prime is 469449879601. The reversal of 469449879600 is 6978944964.

It is not an unprimeable number, because it can be changed into a prime (469449879601) 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 191 ways as a sum of consecutive naturals, for example, 760858492 + ... + 760859108.

It is an arithmetic number, because the mean of its divisors is an integer number (1895722416).

Almost surely, 2^469449879600 is an apocalyptic number.

469449879600 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 469449879600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909946759680).

469449879600 is an abundant number, since it is smaller than the sum of its proper divisors (1350443639760).

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

469449879600 is a wasteful number, since it uses less digits than its factorization.

469449879600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 469449879600 in words is "four hundred sixty-nine billion, four hundred forty-nine million, eight hundred seventy-nine thousand, six hundred".