469884672 has 144 divisors (see below), whose sum is σ = 1401611680. Its totient is φ = 155271168.

The previous prime is 469884631. The next prime is 469884691. The reversal of 469884672 is 276488964.

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

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

It is a zygodrome in base 12.

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 15 ways as a sum of consecutive naturals, for example, 1084968 + ... + 1085400.

Almost surely, 2^469884672 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 469884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700805840).

469884672 is an abundant number, since it is smaller than the sum of its proper divisors (931727008).

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

469884672 is a wasteful number, since it uses less digits than its factorization.

469884672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 595 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 469884672 is about 21676.8233835126. The cubic root of 469884672 is about 777.4344107090.

The spelling of 469884672 in words is "four hundred sixty-nine million, eight hundred eighty-four thousand, six hundred seventy-two".