58380000 has 240 divisors, whose sum is σ = 220429440. Its totient is φ = 13248000.

The previous prime is 58379999. The next prime is 58380011. The reversal of 58380000 is 8385.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 419931 + ... + 420069.

It is an arithmetic number, because the mean of its divisors is an integer number (918456).

Almost surely, 2^58380000 is an apocalyptic number.

58380000 is a gapful number since it is divisible by the number (50) 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 58380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110214720).

58380000 is an abundant number, since it is smaller than the sum of its proper divisors (162049440).

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

58380000 is a wasteful number, since it uses less digits than its factorization.

58380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 58380000 is about 7640.6805979572. The cubic root of 58380000 is about 387.9311884205.

Adding to 58380000 its reverse (8385), we get a palindrome (58388385).

The spelling of 58380000 in words is "fifty-eight million, three hundred eighty thousand".