30529440 has 192 divisors, whose sum is σ = 110315520. Its totient is φ = 7879680.

The previous prime is 30529439. The next prime is 30529507. The reversal of 30529440 is 4492503.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159745 + ... + 159935.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 2^30529440 is an apocalyptic number.

30529440 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 30529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

30529440 is an abundant number, since it is smaller than the sum of its proper divisors (79786080).

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

30529440 is a wasteful number, since it uses less digits than its factorization.

30529440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30529440 is about 5525.3452380824. The cubic root of 30529440 is about 312.5404832886.

The spelling of 30529440 in words is "thirty million, five hundred twenty-nine thousand, four hundred forty".