58038480 has 120 divisors (see below), whose sum is σ = 196583400. Its totient is φ = 15344640.

The previous prime is 58038473. The next prime is 58038523. The reversal of 58038480 is 8483085.

58038480 is a `hidden beast` number, since 580 + 38 + 48 + 0 = 666.

58038480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 57881664 = 396^2 + 7608^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 107010 + ... + 107550.

It is an arithmetic number, because the mean of its divisors is an integer number (1638195).

Almost surely, 2^58038480 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 58038480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98291700).

58038480 is an abundant number, since it is smaller than the sum of its proper divisors (138544920).

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

58038480 is a wasteful number, since it uses less digits than its factorization.

58038480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 58038480 is about 7618.2990227478. The cubic root of 58038480 is about 387.1732493529.

It can be divided in two parts, 580 and 38480, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 58038480 in words is "fifty-eight million, thirty-eight thousand, four hundred eighty".