58401220 has 48 divisors (see below), whose sum is σ = 127628928. Its totient is φ = 22429440.

The previous prime is 58401197. The next prime is 58401229. The reversal of 58401220 is 2210485.

58401220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 58401191 and 58401200.

It is not an unprimeable number, because it can be changed into a prime (58401229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54409 + ... + 55471.

It is an arithmetic number, because the mean of its divisors is an integer number (2658936).

Almost surely, 2^58401220 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 58401220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63814464).

58401220 is an abundant number, since it is smaller than the sum of its proper divisors (69227708).

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

58401220 is a wasteful number, since it uses less digits than its factorization.

58401220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 58401220 is about 7642.0690915484. The cubic root of 58401220 is about 387.9781845530.

The spelling of 58401220 in words is "fifty-eight million, four hundred one thousand, two hundred twenty".