30085440 has 336 divisors, whose sum is σ = 123236736. Its totient is φ = 6082560.

The previous prime is 30085421. The next prime is 30085481. The reversal of 30085440 is 4458003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30085440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813102 + ... + 813138.

It is an arithmetic number, because the mean of its divisors is an integer number (366776).

Almost surely, 2^30085440 is an apocalyptic number.

30085440 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 30085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61618368).

30085440 is an abundant number, since it is smaller than the sum of its proper divisors (93151296).

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

30085440 is a wasteful number, since it uses less digits than its factorization.

30085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 30085440 is about 5485.0195988711. The cubic root of 30085440 is about 311.0179509426.

It can be divided in two parts, 3008 and 5440, that added together give a palindrome (8448).

The spelling of 30085440 in words is "thirty million, eighty-five thousand, four hundred forty".