842309520 has 240 divisors, whose sum is σ = 2979005760. Its totient is φ = 196245504.

The previous prime is 842309483. The next prime is 842309521. The reversal of 842309520 is 25903248.

It is a happy number.

842309520 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (842309521) 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, 770094 + ... + 771186.

It is an arithmetic number, because the mean of its divisors is an integer number (12412524).

Almost surely, 2^842309520 is an apocalyptic number.

842309520 is a gapful number since it is divisible by the number (80) 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 842309520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489502880).

842309520 is an abundant number, since it is smaller than the sum of its proper divisors (2136696240).

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

842309520 is a wasteful number, since it uses less digits than its factorization.

842309520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 842309520 is about 29022.5691488538. The cubic root of 842309520 is about 944.4027356078.

The spelling of 842309520 in words is "eight hundred forty-two million, three hundred nine thousand, five hundred twenty".