882457842 has 128 divisors (see below), whose sum is σ = 2175860736. Its totient is φ = 233280000.

The previous prime is 882457841. The next prime is 882457889. The reversal of 882457842 is 248754288.

It is a junction number, because it is equal to n+sod(n) for n = 882457791 and 882457800.

It is not an unprimeable number, because it can be changed into a prime (882457841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3256167 + ... + 3256437.

It is an arithmetic number, because the mean of its divisors is an integer number (16998912).

Almost surely, 2^882457842 is an apocalyptic number.

882457842 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 882457842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087930368).

882457842 is an abundant number, since it is smaller than the sum of its proper divisors (1293402894).

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

882457842 is a wasteful number, since it uses less digits than its factorization.

882457842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416.

The product of its digits is 1146880, while the sum is 48.

The square root of 882457842 is about 29706.1919807975. The cubic root of 882457842 is about 959.1753051978.

It can be divided in two parts, 8824 and 57842, that added together give a palindrome (66666).

The spelling of 882457842 in words is "eight hundred eighty-two million, four hundred fifty-seven thousand, eight hundred forty-two".