30816400 has 30 divisors (see below), whose sum is σ = 74037362. Its totient is φ = 12326400.

The previous prime is 30816367. The next prime is 30816403. The reversal of 30816400 is 461803.

It can be written as a sum of positive squares in 3 ways, for example, as 5253264 + 25563136 = 2292^2 + 5056^2 .

It is not an unprimeable number, because it can be changed into a prime (30816403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 38121 + ... + 38920.

Almost surely, 2^30816400 is an apocalyptic number.

It is an amenable number.

30816400 is an abundant number, since it is smaller than the sum of its proper divisors (43220962).

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

30816400 is a wasteful number, since it uses less digits than its factorization.

30816400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77059 (or 77048 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 30816400 is about 5551.2521110106. The cubic root of 30816400 is about 313.5166675187.

The spelling of 30816400 in words is "thirty million, eight hundred sixteen thousand, four hundred".