58455040 has 132 divisors (see below), whose sum is σ = 163817316. Its totient is φ = 19955712.

The previous prime is 58455037. The next prime is 58455041. The reversal of 58455040 is 4055485.

58455040 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 2 ways, for example, as 16257024 + 42198016 = 4032^2 + 6496^2 .

It is a junction number, because it is equal to n+sod(n) for n = 58454993 and 58455011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58455041) 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 11 ways as a sum of consecutive naturals, for example, 250764 + ... + 250996.

Almost surely, 2^58455040 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 58455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81908658).

58455040 is an abundant number, since it is smaller than the sum of its proper divisors (105362276).

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

58455040 is a wasteful number, since it uses less digits than its factorization.

58455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The square root of 58455040 is about 7645.5895783125. The cubic root of 58455040 is about 388.0973291807.

The spelling of 58455040 in words is "fifty-eight million, four hundred fifty-five thousand, forty".