58070400 has 192 divisors, whose sum is σ = 200344320. Its totient is φ = 14755840.

The previous prime is 58070393. The next prime is 58070401. The reversal of 58070400 is 407085.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58070401) 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 23 ways as a sum of consecutive naturals, for example, 220669 + ... + 220931.

It is an arithmetic number, because the mean of its divisors is an integer number (1043460).

Almost surely, 2^58070400 is an apocalyptic number.

58070400 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 58070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100172160).

58070400 is an abundant number, since it is smaller than the sum of its proper divisors (142273920).

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

58070400 is a wasteful number, since it uses less digits than its factorization.

58070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 58070400 is about 7620.3936906173. The cubic root of 58070400 is about 387.2442155185.

Adding to 58070400 its reverse (407085), we get a palindrome (58477485).

The spelling of 58070400 in words is "fifty-eight million, seventy thousand, four hundred".