882498240 has 448 divisors, whose sum is σ = 3429121920. Its totient is φ = 214990848.

The previous prime is 882498233. The next prime is 882498257. The reversal of 882498240 is 42894288.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9097872 + ... + 9097968.

It is an arithmetic number, because the mean of its divisors is an integer number (7654290).

Almost surely, 2^882498240 is an apocalyptic number.

882498240 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 882498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714560960).

882498240 is an abundant number, since it is smaller than the sum of its proper divisors (2546623680).

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

882498240 is an equidigital number, since it uses as much as digits as its factorization.

882498240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 882498240 is about 29706.8719322651. The cubic root of 882498240 is about 959.1899416563.

The spelling of 882498240 in words is "eight hundred eighty-two million, four hundred ninety-eight thousand, two hundred forty".