473626944 has 252 divisors, whose sum is σ = 1604712564. Its totient is φ = 133152768.

The previous prime is 473626913. The next prime is 473626961. The reversal of 473626944 is 449626374.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 335329344 + 138297600 = 18312^2 + 11760^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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 473626944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2737642 + ... + 2737814.

It is an arithmetic number, because the mean of its divisors is an integer number (6367907).

Almost surely, 2^473626944 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 473626944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802356282).

473626944 is an abundant number, since it is smaller than the sum of its proper divisors (1131085620).

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

473626944 is a wasteful number, since it uses less digits than its factorization.

473626944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 473626944 is about 21762.9718558840. The cubic root of 473626944 is about 779.4928458635.

The spelling of 473626944 in words is "four hundred seventy-three million, six hundred twenty-six thousand, nine hundred forty-four".