58478400 has 252 divisors, whose sum is σ = 216188544. Its totient is φ = 14976000.

The previous prime is 58478383. The next prime is 58478401. The reversal of 58478400 is 487485.

58478400 is a `hidden beast` number, since 584 + 78 + 4 + 0 + 0 = 666.

58478400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58478401) 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 35 ways as a sum of consecutive naturals, for example, 446335 + ... + 446465.

Almost surely, 2^58478400 is an apocalyptic number.

58478400 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 58478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108094272).

58478400 is an abundant number, since it is smaller than the sum of its proper divisors (157710144).

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

58478400 is a wasteful number, since it uses less digits than its factorization.

58478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 58478400 is about 7647.1171038503. The cubic root of 58478400 is about 388.1490198831.

The spelling of 58478400 in words is "fifty-eight million, four hundred seventy-eight thousand, four hundred".