30431440 has 80 divisors (see below), whose sum is σ = 78901200. Its totient is φ = 10838016.

The previous prime is 30431417. The next prime is 30431441. The reversal of 30431440 is 4413403.

It can be written as a sum of positive squares in 8 ways, for example, as 3640464 + 26790976 = 1908^2 + 5176^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30431441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29656 + ... + 30664.

It is an arithmetic number, because the mean of its divisors is an integer number (986265).

Almost surely, 2^30431440 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 30431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39450600).

30431440 is an abundant number, since it is smaller than the sum of its proper divisors (48469760).

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

30431440 is a wasteful number, since it uses less digits than its factorization.

30431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 30431440 is about 5516.4698857150. The cubic root of 30431440 is about 312.2057048027.

Adding to 30431440 its reverse (4413403), we get a palindrome (34844843).

The spelling of 30431440 in words is "thirty million, four hundred thirty-one thousand, four hundred forty".