816932480 has 256 divisors, whose sum is σ = 2447020800. Its totient is φ = 255430656.

The previous prime is 816932419. The next prime is 816932549. The reversal of 816932480 is 84239618.

It is an unprimeable number.

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, 9842519 + ... + 9842601.

It is an arithmetic number, because the mean of its divisors is an integer number (9558675).

Almost surely, 2^816932480 is an apocalyptic number.

816932480 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 816932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223510400).

816932480 is an abundant number, since it is smaller than the sum of its proper divisors (1630088320).

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

816932480 is an equidigital number, since it uses as much as digits as its factorization.

816932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 816932480 is about 28582.0307186176. The cubic root of 816932480 is about 934.8215622196.

The spelling of 816932480 in words is "eight hundred sixteen million, nine hundred thirty-two thousand, four hundred eighty".