30406500 has 144 divisors (see below), whose sum is σ = 99655920. Its totient is φ = 7795200.

The previous prime is 30406463. The next prime is 30406507. The reversal of 30406500 is 560403.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14197824 + 16208676 = 3768^2 + 4026^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30406507) 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 47 ways as a sum of consecutive naturals, for example, 130384 + ... + 130616.

It is an arithmetic number, because the mean of its divisors is an integer number (692055).

Almost surely, 2^30406500 is an apocalyptic number.

30406500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30406500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49827960).

30406500 is an abundant number, since it is smaller than the sum of its proper divisors (69249420).

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

30406500 is a wasteful number, since it uses less digits than its factorization.

30406500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30406500 is about 5514.2089187843. The cubic root of 30406500 is about 312.1203923939.

Adding to 30406500 its reverse (560403), we get a palindrome (30966903).

The spelling of 30406500 in words is "thirty million, four hundred six thousand, five hundred".