469758016 has 112 divisors (see below), whose sum is σ = 1162954240. Its totient is φ = 183306240.

The previous prime is 469757999. The next prime is 469758017. The reversal of 469758016 is 610857964.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469758017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 459586 + ... + 460606.

It is an arithmetic number, because the mean of its divisors is an integer number (10383520).

Almost surely, 2^469758016 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 469758016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581477120).

469758016 is an abundant number, since it is smaller than the sum of its proper divisors (693196224).

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

469758016 is a wasteful number, since it uses less digits than its factorization.

469758016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 469758016 is about 21673.9017253470. The cubic root of 469758016 is about 777.3645527296.

The spelling of 469758016 in words is "four hundred sixty-nine million, seven hundred fifty-eight thousand, sixteen".