469662144 has 112 divisors (see below), whose sum is σ = 1439923968. Its totient is φ = 132323328.

The previous prime is 469662133. The next prime is 469662187. The reversal of 469662144 is 441266964.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 469662096 and 469662105.

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, 95719 + ... + 100505.

It is an arithmetic number, because the mean of its divisors is an integer number (12856464).

Almost surely, 2^469662144 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 469662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719961984).

469662144 is an abundant number, since it is smaller than the sum of its proper divisors (970261824).

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

469662144 is a wasteful number, since it uses less digits than its factorization.

469662144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4882 (or 4872 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 469662144 is about 21671.6899202623. The cubic root of 469662144 is about 777.3116655249.

The spelling of 469662144 in words is "four hundred sixty-nine million, six hundred sixty-two thousand, one hundred forty-four".