469485576 has 192 divisors, whose sum is σ = 1517568000. Its totient is φ = 128304000.

The previous prime is 469485571. The next prime is 469485589. The reversal of 469485576 is 675584964.

469485576 is a `hidden beast` number, since 4 + 69 + 4 + 8 + 5 + 576 = 666.

Its product of digits (7257600) is a multiple of the sum of its prime factors (400).

It is not an unprimeable number, because it can be changed into a prime (469485571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2359125 + ... + 2359323.

It is an arithmetic number, because the mean of its divisors is an integer number (7904000).

Almost surely, 2^469485576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469485576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758784000).

469485576 is an abundant number, since it is smaller than the sum of its proper divisors (1048082424).

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

469485576 is a wasteful number, since it uses less digits than its factorization.

469485576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 393 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 469485576 is about 21667.6158356198. The cubic root of 469485576 is about 777.2142440268.

The spelling of 469485576 in words is "four hundred sixty-nine million, four hundred eighty-five thousand, five hundred seventy-six".