473268144 has 80 divisors (see below), whose sum is σ = 1248491520. Its totient is φ = 154452480.

The previous prime is 473268143. The next prime is 473268157. The reversal of 473268144 is 441862374.

It is a super-2 number, since 2×473268144² = 447965472250409472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (473268143) 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, 519049 + ... + 519959.

It is an arithmetic number, because the mean of its divisors is an integer number (15606144).

Almost surely, 2^473268144 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 473268144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624245760).

473268144 is an abundant number, since it is smaller than the sum of its proper divisors (775223376).

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

473268144 is a wasteful number, since it uses less digits than its factorization.

473268144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1132 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 473268144 is about 21754.7269346227. The cubic root of 473268144 is about 779.2959590580.

The spelling of 473268144 in words is "four hundred seventy-three million, two hundred sixty-eight thousand, one hundred forty-four".