30630400 has 60 divisors (see below), whose sum is σ = 75920922. Its totient is φ = 12247040.

The previous prime is 30630389. The next prime is 30630421. The reversal of 30630400 is 403603.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13191424 + 17438976 = 3632^2 + 4176^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11604 + ... + 13996.

Almost surely, 2^30630400 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 30630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37960461).

30630400 is an abundant number, since it is smaller than the sum of its proper divisors (45290522).

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

30630400 is an equidigital number, since it uses as much as digits as its factorization.

30630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 30630400 is about 5534.4737780570. The cubic root of 30630400 is about 312.8846250758.

The spelling of 30630400 in words is "thirty million, six hundred thirty thousand, four hundred".