30497600 has 126 divisors (see below), whose sum is σ = 87519510. Its totient is φ = 10429440.

The previous prime is 30497587. The next prime is 30497627. The reversal of 30497600 is 679403.

It can be written as a sum of positive squares in 3 ways, for example, as 379456 + 30118144 = 616^2 + 5488^2 .

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 17 ways as a sum of consecutive naturals, for example, 78206 + ... + 78594.

Almost surely, 2^30497600 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 30497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43759755).

30497600 is an abundant number, since it is smaller than the sum of its proper divisors (57021910).

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

30497600 is a wasteful number, since it uses less digits than its factorization.

30497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 30497600 is about 5522.4632185285. The cubic root of 30497600 is about 312.4317931141.

The spelling of 30497600 in words is "thirty million, four hundred ninety-seven thousand, six hundred".