906704448 has 224 divisors, whose sum is σ = 2703697920. Its totient is φ = 266373120.

The previous prime is 906704441. The next prime is 906704467. The reversal of 906704448 is 844407609.

It is a super-2 number, since 2×906704448² = 1644225912045969408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (906704441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6921343 + ... + 6921473.

It is an arithmetic number, because the mean of its divisors is an integer number (12070080).

Almost surely, 2^906704448 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 906704448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351848960).

906704448 is an abundant number, since it is smaller than the sum of its proper divisors (1796993472).

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

906704448 is a wasteful number, since it uses less digits than its factorization.

906704448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 906704448 is about 30111.5334714126. The cubic root of 906704448 is about 967.8808905650.

The spelling of 906704448 in words is "nine hundred six million, seven hundred four thousand, four hundred forty-eight".