58074400 has 72 divisors (see below), whose sum is σ = 142842420. Its totient is φ = 23055360.

The previous prime is 58074391. The next prime is 58074407. The reversal of 58074400 is 447085.

It can be written as a sum of positive squares in 6 ways, for example, as 20178064 + 37896336 = 4492^2 + 6156^2 .

It is not an unprimeable number, because it can be changed into a prime (58074407) 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 11 ways as a sum of consecutive naturals, for example, 183042 + ... + 183358.

Almost surely, 2^58074400 is an apocalyptic number.

58074400 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 58074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71421210).

58074400 is an abundant number, since it is smaller than the sum of its proper divisors (84768020).

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

58074400 is a wasteful number, since it uses less digits than its factorization.

58074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 58074400 is about 7620.6561397297. The cubic root of 58074400 is about 387.2531066880.

The spelling of 58074400 in words is "fifty-eight million, seventy-four thousand, four hundred".