30406900 has 18 divisors (see below), whose sum is σ = 65983190. Its totient is φ = 12162720.

The previous prime is 30406867. The next prime is 30406903. The reversal of 30406900 is 960403.

It can be written as a sum of positive squares in 3 ways, for example, as 2704 + 30404196 = 52^2 + 5514^2 .

It is a super-4 number, since 4×30406900⁴ (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30406903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 151935 + ... + 152134.

Almost surely, 2^30406900 is an apocalyptic number.

It is an amenable number.

30406900 is an abundant number, since it is smaller than the sum of its proper divisors (35576290).

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

30406900 is a wasteful number, since it uses less digits than its factorization.

30406900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304083 (or 304076 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 30406900 is about 5514.2451886002. The cubic root of 30406900 is about 312.1217610443.

The spelling of 30406900 in words is "thirty million, four hundred six thousand, nine hundred".