83300448 has 192 divisors, whose sum is σ = 278691840. Its totient is φ = 21158400.

The previous prime is 83300447. The next prime is 83300449. The reversal of 83300448 is 84400338.

It is an interprime number because it is at equal distance from previous prime (83300447) and next prime (83300449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83300447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436033 + ... + 436223.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 2^83300448 is an apocalyptic number.

83300448 is a gapful number since it is divisible by the number (88) 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 83300448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

83300448 is an abundant number, since it is smaller than the sum of its proper divisors (195391392).

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

83300448 is a wasteful number, since it uses less digits than its factorization.

83300448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 83300448 is about 9126.9079101304. The cubic root of 83300448 is about 436.7327688391.

The spelling of 83300448 in words is "eighty-three million, three hundred thousand, four hundred forty-eight".