469920648960 has 1152 divisors, whose sum is σ = 2000731299840. Its totient is φ = 102192316416.

The previous prime is 469920648959. The next prime is 469920648973. The reversal of 469920648960 is 69846029964.

469920648960 is a `hidden beast` number, since 4 + 6 + 9 + 92 + 0 + 6 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 420698322 + ... + 420699438.

It is an arithmetic number, because the mean of its divisors is an integer number (1736745920).

Almost surely, 2^469920648960 is an apocalyptic number.

469920648960 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 469920648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000365649920).

469920648960 is an abundant number, since it is smaller than the sum of its proper divisors (1530810650880).

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

469920648960 is a wasteful number, since it uses less digits than its factorization.

469920648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 469920648960 in words is "four hundred sixty-nine billion, nine hundred twenty million, six hundred forty-eight thousand, nine hundred sixty".