816452520 has 192 divisors, whose sum is σ = 2681579520. Its totient is φ = 198761472.

The previous prime is 816452467. The next prime is 816452531. The reversal of 816452520 is 25254618.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2575402 + ... + 2575718.

It is an arithmetic number, because the mean of its divisors is an integer number (13966560).

Almost surely, 2^816452520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816452520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340789760).

816452520 is an abundant number, since it is smaller than the sum of its proper divisors (1865127000).

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

816452520 is a wasteful number, since it uses less digits than its factorization.

816452520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 816452520 is about 28573.6333006497. The cubic root of 816452520 is about 934.6384524911.

The spelling of 816452520 in words is "eight hundred sixteen million, four hundred fifty-two thousand, five hundred twenty".