472808448 has 264 divisors, whose sum is σ = 1633506000. Its totient is φ = 134701056.

The previous prime is 472808423. The next prime is 472808473. The reversal of 472808448 is 844808274.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (472808423) and next prime (472808473).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354578 + ... + 1354926.

Almost surely, 2^472808448 is an apocalyptic number.

472808448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472808448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816753000).

472808448 is an abundant number, since it is smaller than the sum of its proper divisors (1160697552).

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

472808448 is a wasteful number, since it uses less digits than its factorization.

472808448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 472808448 is about 21744.1589398165. The cubic root of 472808448 is about 779.0435614190.

The spelling of 472808448 in words is "four hundred seventy-two million, eight hundred eight thousand, four hundred forty-eight".