58464080 has 40 divisors (see below), whose sum is σ = 136250952. Its totient is φ = 23330304.

The previous prime is 58464079. The next prime is 58464089. The reversal of 58464080 is 8046485.

58464080 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 32535616 + 25928464 = 5704^2 + 5092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 58464080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58464089) 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 7 ways as a sum of consecutive naturals, for example, 58142 + ... + 59138.

Almost surely, 2^58464080 is an apocalyptic number.

It is an amenable number.

58464080 is an abundant number, since it is smaller than the sum of its proper divisors (77786872).

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

58464080 is a wasteful number, since it uses less digits than its factorization.

58464080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 58464080 is about 7646.1807459672. The cubic root of 58464080 is about 388.1173344076.

The spelling of 58464080 in words is "fifty-eight million, four hundred sixty-four thousand, eighty".