58874400 has 432 divisors, whose sum is σ = 243125064. Its totient is φ = 13271040.

The previous prime is 58874393. The next prime is 58874429. The reversal of 58874400 is 447885.

58874400 is a `hidden beast` number, since 588 + 74 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10265616 + 48608784 = 3204^2 + 6972^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1591182 + ... + 1591218.

Almost surely, 2^58874400 is an apocalyptic number.

58874400 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 58874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121562532).

58874400 is an abundant number, since it is smaller than the sum of its proper divisors (184250664).

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

58874400 is a wasteful number, since it uses less digits than its factorization.

58874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

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

The square root of 58874400 is about 7672.9655283990. The cubic root of 58874400 is about 389.0231965426.

The spelling of 58874400 in words is "fifty-eight million, eight hundred seventy-four thousand, four hundred".