30470400 has 243 divisors, whose sum is σ = 113880949. Its totient is φ = 7772160.

The previous prime is 30470393. The next prime is 30470449. The reversal of 30470400 is 407403.

The square root of 30470400 is 5520.

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

It can be written as a sum of positive squares in only one way, i.e., 10969344 + 19501056 = 3312^2 + 4416^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1324789 + ... + 1324811.

Almost surely, 2^30470400 is an apocalyptic number.

30470400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30470400 is the 5520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30470400

30470400 is an abundant number, since it is smaller than the sum of its proper divisors (83410549).

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

30470400 is a wasteful number, since it uses less digits than its factorization.

30470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The cubic root of 30470400 is about 312.3388822791.

Adding to 30470400 its reverse (407403), we get a palindrome (30877803).

The spelling of 30470400 in words is "thirty million, four hundred seventy thousand, four hundred".