58470720 has 336 divisors, whose sum is σ = 237670848. Its totient is φ = 12042240.

The previous prime is 58470719. The next prime is 58470721. The reversal of 58470720 is 2707485.

It is an interprime number because it is at equal distance from previous prime (58470719) and next prime (58470721).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58470721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517384 + ... + 517496.

Almost surely, 2^58470720 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 58470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118835424).

58470720 is an abundant number, since it is smaller than the sum of its proper divisors (179200128).

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

58470720 is a wasteful number, since it uses less digits than its factorization.

58470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 58470720 is about 7646.6149373432. The cubic root of 58470720 is about 388.1320271987.

The spelling of 58470720 in words is "fifty-eight million, four hundred seventy thousand, seven hundred twenty".