816400345 has 8 divisors (see below), whose sum is σ = 1011283200. Its totient is φ = 632051760.

The previous prime is 816400327. The next prime is 816400349. The reversal of 816400345 is 543004618.

It is a happy number.

816400345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 816400345 - 2⁵ = 816400313 is a prime.

It is a super-2 number, since 2×816400345² = 1333019046632238050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (816400349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2633395 + ... + 2633704.

It is an arithmetic number, because the mean of its divisors is an integer number (126410400).

Almost surely, 2^816400345 is an apocalyptic number.

It is an amenable number.

816400345 is a deficient number, since it is larger than the sum of its proper divisors (194882855).

816400345 is a wasteful number, since it uses less digits than its factorization.

816400345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267135.

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 816400345 is about 28572.7202940147. The cubic root of 816400345 is about 934.6185428622.

The spelling of 816400345 in words is "eight hundred sixteen million, four hundred thousand, three hundred forty-five".