58493400 has 192 divisors, whose sum is σ = 218438400. Its totient is φ = 12648960.

The previous prime is 58493399. The next prime is 58493401. The reversal of 58493400 is 439485.

It is an interprime number because it is at equal distance from previous prime (58493399) and next prime (58493401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58493401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79434 + ... + 80166.

It is an arithmetic number, because the mean of its divisors is an integer number (1137700).

Almost surely, 2^58493400 is an apocalyptic number.

58493400 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 58493400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109219200).

58493400 is an abundant number, since it is smaller than the sum of its proper divisors (159945000).

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

58493400 is a wasteful number, since it uses less digits than its factorization.

58493400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 58493400 is about 7648.0978027219. The cubic root of 58493400 is about 388.1822044296.

The spelling of 58493400 in words is "fifty-eight million, four hundred ninety-three thousand, four hundred".