58350240 has 192 divisors, whose sum is σ = 220147200. Its totient is φ = 14349312.

The previous prime is 58350223. The next prime is 58350247. The reversal of 58350240 is 4205385.

58350240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58350247) 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 31 ways as a sum of consecutive naturals, for example, 55641 + ... + 56679.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^58350240 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 58350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

58350240 is an abundant number, since it is smaller than the sum of its proper divisors (161796960).

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

58350240 is a wasteful number, since it uses less digits than its factorization.

58350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 58350240 is about 7638.7328792150. The cubic root of 58350240 is about 387.8652594812.

The spelling of 58350240 in words is "fifty-eight million, three hundred fifty thousand, two hundred forty".