472920448 has 128 divisors (see below), whose sum is σ = 1265322240. Its totient is φ = 170035200.

The previous prime is 472920443. The next prime is 472920463. The reversal of 472920448 is 844029274.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 472920448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472920443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126283 + ... + 129973.

It is an arithmetic number, because the mean of its divisors is an integer number (9885330).

Almost surely, 2^472920448 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 472920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632661120).

472920448 is an abundant number, since it is smaller than the sum of its proper divisors (792401792).

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

472920448 is a wasteful number, since it uses less digits than its factorization.

472920448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 472920448 is about 21746.7341915976. The cubic root of 472920448 is about 779.1050704654.

The spelling of 472920448 in words is "four hundred seventy-two million, nine hundred twenty thousand, four hundred forty-eight".