469484964 has 96 divisors (see below), whose sum is σ = 1321635840. Its totient is φ = 143265024.

The previous prime is 469484957. The next prime is 469484999.

It is a happy number.

469484964 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×469484964² = 440832262844162592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 469484964.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176992 + ... + 179624.

It is an arithmetic number, because the mean of its divisors is an integer number (13767040).

Almost surely, 2^469484964 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 469484964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660817920).

469484964 is an abundant number, since it is smaller than the sum of its proper divisors (852150876).

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

469484964 is a wasteful number, since it uses less digits than its factorization.

469484964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2778 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 469484964 is about 21667.6017131569. The cubic root of 469484964 is about 777.2139063129.

The spelling of 469484964 in words is "four hundred sixty-nine million, four hundred eighty-four thousand, nine hundred sixty-four".