30457224 has 144 divisors (see below), whose sum is σ = 98034300. Its totient is φ = 8515584.

The previous prime is 30457223. The next prime is 30457237. The reversal of 30457224 is 42275403.

It can be written as a sum of positive squares in 2 ways, for example, as 29354724 + 1102500 = 5418^2 + 1050^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30457223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 313944 + ... + 314040.

Almost surely, 2^30457224 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 30457224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49017150).

30457224 is an abundant number, since it is smaller than the sum of its proper divisors (67577076).

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

30457224 is a wasteful number, since it uses less digits than its factorization.

30457224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 30457224 is about 5518.8063926904. The cubic root of 30457224 is about 312.2938552972.

The spelling of 30457224 in words is "thirty million, four hundred fifty-seven thousand, two hundred twenty-four".