30457152 has 252 divisors, whose sum is σ = 105399840. Its totient is φ = 8363520.

The previous prime is 30457151. The next prime is 30457177. The reversal of 30457152 is 25175403.

It is a happy number.

It is a super-2 number, since 2×30457152² = 1855276215902208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30457151) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1324213 + ... + 1324235.

Almost surely, 2^30457152 is an apocalyptic number.

30457152 is a gapful number since it is divisible by the number (32) 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 30457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52699920).

30457152 is an abundant number, since it is smaller than the sum of its proper divisors (74942688).

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

30457152 is a wasteful number, since it uses less digits than its factorization.

30457152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 30457152 is about 5518.7998695369. The cubic root of 30457152 is about 312.2936092124.

The spelling of 30457152 in words is "thirty million, four hundred fifty-seven thousand, one hundred fifty-two".