30974400 has 210 divisors, whose sum is σ = 114330480. Its totient is φ = 8225280.

The previous prime is 30974369. The next prime is 30974413. The reversal of 30974400 is 447903.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129481 + ... + 129719.

Almost surely, 2^30974400 is an apocalyptic number.

30974400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57165240).

30974400 is an abundant number, since it is smaller than the sum of its proper divisors (83356080).

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

30974400 is a wasteful number, since it uses less digits than its factorization.

30974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30974400 is about 5565.4649401465. The cubic root of 30974400 is about 314.0515690114.

The spelling of 30974400 in words is "thirty million, nine hundred seventy-four thousand, four hundred".