58200420 has 72 divisors (see below), whose sum is σ = 172053504. Its totient is φ = 14697792.

The previous prime is 58200409. The next prime is 58200427. The reversal of 58200420 is 2400285.

It is not an unprimeable number, because it can be changed into a prime (58200427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20317 + ... + 23003.

It is an arithmetic number, because the mean of its divisors is an integer number (2389632).

Almost surely, 2^58200420 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 58200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86026752).

58200420 is an abundant number, since it is smaller than the sum of its proper divisors (113853084).

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

58200420 is a wasteful number, since it uses less digits than its factorization.

58200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 58200420 is about 7628.9199759861. The cubic root of 58200420 is about 387.5330141834.

The spelling of 58200420 in words is "fifty-eight million, two hundred thousand, four hundred twenty".