30030400 has 63 divisors (see below), whose sum is σ = 74436859. Its totient is φ = 11924480.

The previous prime is 30030397. The next prime is 30030419. The reversal of 30030400 is 403003.

The square root of 30030400 is 5480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 87616 + 29942784 = 296^2 + 5472^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 219132 + ... + 219268.

Almost surely, 2^30030400 is an apocalyptic number.

30030400 is the 5480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30030400

30030400 is an abundant number, since it is smaller than the sum of its proper divisors (44406459).

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

30030400 is an equidigital number, since it uses as much as digits as its factorization.

30030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The cubic root of 30030400 is about 310.8281705728.

Multiplying 30030400 by its product of nonzero digits (36), we get a square (1081094400 = 32880²).

Adding to 30030400 its reverse (403003), we get a palindrome (30433403).

The spelling of 30030400 in words is "thirty million, thirty thousand, four hundred".