30406140 has 72 divisors (see below), whose sum is σ = 92737008. Its totient is φ = 8064000.

The previous prime is 30406139. The next prime is 30406147. The reversal of 30406140 is 4160403.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30406147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44844 + ... + 45516.

It is an arithmetic number, because the mean of its divisors is an integer number (1288014).

Almost surely, 2^30406140 is an apocalyptic number.

30406140 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 30406140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46368504).

30406140 is an abundant number, since it is smaller than the sum of its proper divisors (62330868).

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

30406140 is a wasteful number, since it uses less digits than its factorization.

30406140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30406140 is about 5514.1762757460. The cubic root of 30406140 is about 312.1191605982.

Adding to 30406140 its reverse (4160403), we get a palindrome (34566543).

It can be divided in two parts, 3040 and 6140, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 30406140 in words is "thirty million, four hundred six thousand, one hundred forty".