30430900 has 36 divisors (see below), whose sum is σ = 66644172. Its totient is φ = 12060160.

The previous prime is 30430849. The next prime is 30430903. The reversal of 30430900 is 903403.

It can be written as a sum of positive squares in 6 ways, for example, as 7333264 + 23097636 = 2708^2 + 4806^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30430903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9954 + ... + 12646.

It is an arithmetic number, because the mean of its divisors is an integer number (1851227).

Almost surely, 2^30430900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30430900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33322086).

30430900 is an abundant number, since it is smaller than the sum of its proper divisors (36213272).

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

30430900 is a wasteful number, since it uses less digits than its factorization.

30430900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 30430900 is about 5516.4209411538. The cubic root of 30430900 is about 312.2038581153.

The spelling of 30430900 in words is "thirty million, four hundred thirty thousand, nine hundred".