58344480 has 144 divisors (see below), whose sum is σ = 205680384. Its totient is φ = 15045120.

The previous prime is 58344469. The next prime is 58344521. The reversal of 58344480 is 8444385.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43987 + ... + 45293.

It is an arithmetic number, because the mean of its divisors is an integer number (1428336).

Almost surely, 2^58344480 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 58344480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102840192).

58344480 is an abundant number, since it is smaller than the sum of its proper divisors (147335904).

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

58344480 is a wasteful number, since it uses less digits than its factorization.

58344480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 58344480 is about 7638.3558440282. The cubic root of 58344480 is about 387.8524964522.

The spelling of 58344480 in words is "fifty-eight million, three hundred forty-four thousand, four hundred eighty".