920192448 has 224 divisors, whose sum is σ = 2879847936. Its totient is φ = 253919232.

The previous prime is 920192423. The next prime is 920192453. The reversal of 920192448 is 844291029.

It is a tau number, because it is divible by the number of its divisors (224).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8143240 + ... + 8143352.

It is an arithmetic number, because the mean of its divisors is an integer number (12856464).

Almost surely, 2^920192448 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 920192448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439923968).

920192448 is an abundant number, since it is smaller than the sum of its proper divisors (1959655488).

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

920192448 is a wasteful number, since it uses less digits than its factorization.

920192448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 920192448 is about 30334.6740216538. The cubic root of 920192448 is about 972.6566377134.

The spelling of 920192448 in words is "nine hundred twenty million, one hundred ninety-two thousand, four hundred forty-eight".