30874400 has 36 divisors (see below), whose sum is σ = 75374082. Its totient is φ = 12349440.

The previous prime is 30874399. The next prime is 30874409. The reversal of 30874400 is 447803.

It can be written as a sum of positive squares in 3 ways, for example, as 25361296 + 5513104 = 5036^2 + 2348^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30874400.

It is not an unprimeable number, because it can be changed into a prime (30874409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18497 + ... + 20096.

Almost surely, 2^30874400 is an apocalyptic number.

It is an amenable number.

30874400 is an abundant number, since it is smaller than the sum of its proper divisors (44499682).

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

30874400 is a wasteful number, since it uses less digits than its factorization.

30874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38613 (or 38600 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 30874400 is about 5556.4737019084. The cubic root of 30874400 is about 313.7132356937.

The spelling of 30874400 in words is "thirty million, eight hundred seventy-four thousand, four hundred".