469456128 has 144 divisors (see below), whose sum is σ = 1449114240. Its totient is φ = 149630976.

The previous prime is 469456103. The next prime is 469456171. The reversal of 469456128 is 821654964.

469456128 is a `hidden beast` number, since 4 + 69 + 4 + 561 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×469456128² = 440778112233504768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157500 + ... + 160452.

Almost surely, 2^469456128 is an apocalyptic number.

469456128 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 469456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724557120).

469456128 is an abundant number, since it is smaller than the sum of its proper divisors (979658112).

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

469456128 is a wasteful number, since it uses less digits than its factorization.

469456128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2981 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 469456128 is about 21666.9362855019. The cubic root of 469456128 is about 777.1979936989.

The spelling of 469456128 in words is "four hundred sixty-nine million, four hundred fifty-six thousand, one hundred twenty-eight".