920449296 has 240 divisors, whose sum is σ = 2899491504. Its totient is φ = 270729216.

The previous prime is 920449291. The next prime is 920449307. The reversal of 920449296 is 692944029.

It is a happy number.

920449296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2359296 + 918090000 = 1536^2 + 30300^2 .

It is not an unprimeable number, because it can be changed into a prime (920449291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6718540 + ... + 6718676.

Almost surely, 2^920449296 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 920449296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449745752).

920449296 is an abundant number, since it is smaller than the sum of its proper divisors (1979042208).

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

920449296 is a wasteful number, since it uses less digits than its factorization.

920449296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 920449296 is about 30338.9072973962. The cubic root of 920449296 is about 972.7471266367.

The spelling of 920449296 in words is "nine hundred twenty million, four hundred forty-nine thousand, two hundred ninety-six".