469494144 has 160 divisors (see below), whose sum is σ = 1597054800. Its totient is φ = 134120448.

The previous prime is 469494131. The next prime is 469494149. The reversal of 469494144 is 441494964.

469494144 is a `hidden beast` number, since 469 + 49 + 4 + 144 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 469494144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469494149) 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 19 ways as a sum of consecutive naturals, for example, 69342 + ... + 75810.

Almost surely, 2^469494144 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 469494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798527400).

469494144 is an abundant number, since it is smaller than the sum of its proper divisors (1127560656).

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

469494144 is an equidigital number, since it uses as much as digits as its factorization.

469494144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6502 (or 6481 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 469494144 is about 21667.8135491332. The cubic root of 469494144 is about 777.2189719896.

The spelling of 469494144 in words is "four hundred sixty-nine million, four hundred ninety-four thousand, one hundred forty-four".