882814464 has 200 divisors, whose sum is σ = 3012383088. Its totient is φ = 252149760.

The previous prime is 882814459. The next prime is 882814469. The reversal of 882814464 is 464418288.

It is an interprime number because it is at equal distance from previous prime (882814459) and next prime (882814469).

It is a super-2 number, since 2×882814464² = 1558722755695214592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882814469) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 288784 + ... + 291824.

Almost surely, 2^882814464 is an apocalyptic number.

882814464 is a gapful number since it is divisible by the number (84) 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 882814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506191544).

882814464 is an abundant number, since it is smaller than the sum of its proper divisors (2129568624).

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

882814464 is an equidigital number, since it uses as much as digits as its factorization.

882814464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3053 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 882814464 is about 29712.1938604338. The cubic root of 882814464 is about 959.3044962410.

The spelling of 882814464 in words is "eight hundred eighty-two million, eight hundred fourteen thousand, four hundred sixty-four".