469833696 has 288 divisors, whose sum is σ = 1505806848. Its totient is φ = 143700480.

The previous prime is 469833599. The next prime is 469833731. The reversal of 469833696 is 696338964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6617341 + ... + 6617411.

It is an arithmetic number, because the mean of its divisors is an integer number (5228496).

Almost surely, 2^469833696 is an apocalyptic number.

469833696 is a gapful number since it is divisible by the number (46) 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 469833696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752903424).

469833696 is an abundant number, since it is smaller than the sum of its proper divisors (1035973152).

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

469833696 is a wasteful number, since it uses less digits than its factorization.

469833696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 469833696 is about 21675.6475335802. The cubic root of 469833696 is about 777.4062960587.

The spelling of 469833696 in words is "four hundred sixty-nine million, eight hundred thirty-three thousand, six hundred ninety-six".