816398352 has 360 divisors, whose sum is σ = 2987255232. Its totient is φ = 209952000.

The previous prime is 816398329. The next prime is 816398369. The reversal of 816398352 is 253893618.

It is a happy number.

816398352 is a `hidden beast` number, since 8 + 1 + 639 + 8 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 816398298 and 816398307.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8083102 + ... + 8083202.

Almost surely, 2^816398352 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 816398352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493627616).

816398352 is an abundant number, since it is smaller than the sum of its proper divisors (2170856880).

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

816398352 is a wasteful number, since it uses less digits than its factorization.

816398352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 816398352 is about 28572.6854180702. The cubic root of 816398352 is about 934.6177823300.

The spelling of 816398352 in words is "eight hundred sixteen million, three hundred ninety-eight thousand, three hundred fifty-two".