58980405 has 32 divisors (see below), whose sum is σ = 105740928. Its totient is φ = 27820800.

The previous prime is 58980401. The next prime is 58980413. The reversal of 58980405 is 50408985.

It is not a de Polignac number, because 58980405 - 2² = 58980401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58980401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1275 + ... + 10935.

It is an arithmetic number, because the mean of its divisors is an integer number (3304404).

Almost surely, 2^58980405 is an apocalyptic number.

58980405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58980405 is a deficient number, since it is larger than the sum of its proper divisors (46760523).

58980405 is a wasteful number, since it uses less digits than its factorization.

58980405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9717.

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 58980405 is about 7679.8701160892. The cubic root of 58980405 is about 389.2565389255.

The spelling of 58980405 in words is "fifty-eight million, nine hundred eighty thousand, four hundred five".