58342400 has 132 divisors (see below), whose sum is σ = 150773832. Its totient is φ = 22364160.

The previous prime is 58342399. The next prime is 58342411. The reversal of 58342400 is 424385.

It is a self number, because there is not a number n which added to its sum of digits gives 58342400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1100774 + ... + 1100826.

It is an arithmetic number, because the mean of its divisors is an integer number (1142226).

Almost surely, 2^58342400 is an apocalyptic number.

58342400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75386916).

58342400 is an abundant number, since it is smaller than the sum of its proper divisors (92431432).

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

58342400 is a wasteful number, since it uses less digits than its factorization.

58342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 58342400 is about 7638.2196878592. The cubic root of 58342400 is about 387.8478873742.

Adding to 58342400 its reverse (424385), we get a palindrome (58766785).

The spelling of 58342400 in words is "fifty-eight million, three hundred forty-two thousand, four hundred".