58242240 has 336 divisors, whose sum is σ = 239645952. Its totient is φ = 13188096.

The previous prime is 58242227. The next prime is 58242241. The reversal of 58242240 is 4224285.

It is a happy number.

58242240 is a `hidden beast` number, since 582 + 42 + 2 + 40 = 666.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (58242241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544267 + ... + 544373.

It is an arithmetic number, because the mean of its divisors is an integer number (713232).

Almost surely, 2^58242240 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 58242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976).

58242240 is an abundant number, since it is smaller than the sum of its proper divisors (181403712).

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

58242240 is a wasteful number, since it uses less digits than its factorization.

58242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 58242240 is about 7631.6603698016. The cubic root of 58242240 is about 387.6258127716.

The spelling of 58242240 in words is "fifty-eight million, two hundred forty-two thousand, two hundred forty".