469959984 has 240 divisors, whose sum is σ = 1519729120. Its totient is φ = 134369280.

The previous prime is 469959979. The next prime is 469960009. The reversal of 469959984 is 489959964.

469959984 is a `hidden beast` number, since 469 + 9 + 5 + 99 + 84 = 666.

It is a super-2 number, since 2×469959984² = 441724773122560512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2596374 + ... + 2596554.

Almost surely, 2^469959984 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 469959984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759864560).

469959984 is an abundant number, since it is smaller than the sum of its proper divisors (1049769136).

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

469959984 is a wasteful number, since it uses less digits than its factorization.

469959984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 291 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The square root of 469959984 is about 21678.5604688134. The cubic root of 469959984 is about 777.4759436042.

The spelling of 469959984 in words is "four hundred sixty-nine million, nine hundred fifty-nine thousand, nine hundred eighty-four".