30413520 has 120 divisors (see below), whose sum is σ = 104196456. Its totient is φ = 7947264.

The previous prime is 30413501. The next prime is 30413533. The reversal of 30413520 is 2531403.

It can be written as a sum of positive squares in 4 ways, for example, as 5253264 + 25160256 = 2292^2 + 5016^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 30413493 and 30413502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37762 + ... + 38558.

Almost surely, 2^30413520 is an apocalyptic number.

30413520 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 30413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52098228).

30413520 is an abundant number, since it is smaller than the sum of its proper divisors (73782936).

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

30413520 is a wasteful number, since it uses less digits than its factorization.

30413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30413520 is about 5514.8454194111. The cubic root of 30413520 is about 312.1444104663.

Adding to 30413520 its reverse (2531403), we get a palindrome (32944923).

It can be divided in two parts, 3041 and 3520, that added together give a 8-th power (6561 = 3⁸).

The spelling of 30413520 in words is "thirty million, four hundred thirteen thousand, five hundred twenty".