30413760 has 112 divisors (see below), whose sum is σ = 104034336. Its totient is φ = 7483392.

The previous prime is 30413753. The next prime is 30413777. The reversal of 30413760 is 6731403.

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 30413760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11262 + ... + 13698.

It is an arithmetic number, because the mean of its divisors is an integer number (928878).

Almost surely, 2^30413760 is an apocalyptic number.

30413760 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 30413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52017168).

30413760 is an abundant number, since it is smaller than the sum of its proper divisors (73620576).

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

30413760 is a wasteful number, since it uses less digits than its factorization.

30413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 30413760 is about 5514.8671788176. The cubic root of 30413760 is about 312.1452315316.

The spelling of 30413760 in words is "thirty million, four hundred thirteen thousand, seven hundred sixty".