30520400 has 60 divisors (see below), whose sum is σ = 75154044. Its totient is φ = 11904000.

The previous prime is 30520393. The next prime is 30520429. The reversal of 30520400 is 402503.

It can be written as a sum of positive squares in 6 ways, for example, as 15713296 + 14807104 = 3964^2 + 3848^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15470 + ... + 17330.

Almost surely, 2^30520400 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 30520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37577022).

30520400 is an abundant number, since it is smaller than the sum of its proper divisors (44633644).

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

30520400 is a wasteful number, since it uses less digits than its factorization.

30520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 30520400 is about 5524.5271290853. The cubic root of 30520400 is about 312.5096317031.

Adding to 30520400 its reverse (402503), we get a palindrome (30922903).

The spelling of 30520400 in words is "thirty million, five hundred twenty thousand, four hundred".