58480160 has 48 divisors (see below), whose sum is σ = 138715416. Its totient is φ = 23298048.

The previous prime is 58480159. The next prime is 58480181. The reversal of 58480160 is 6108485.

It can be written as a sum of positive squares in 4 ways, for example, as 40806544 + 17673616 = 6388^2 + 4204^2 .

It is a super-2 number, since 2×58480160² = 6839858227251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50144 + ... + 51296.

Almost surely, 2^58480160 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 58480160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69357708).

58480160 is an abundant number, since it is smaller than the sum of its proper divisors (80235256).

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

58480160 is a wasteful number, since it uses less digits than its factorization.

58480160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 58480160 is about 7647.2321790305. The cubic root of 58480160 is about 388.1529138304.

The spelling of 58480160 in words is "fifty-eight million, four hundred eighty thousand, one hundred sixty".