57998400 has 168 divisors, whose sum is σ = 195401184. Its totient is φ = 15052800.

The previous prime is 57998359. The next prime is 57998401. The reversal of 57998400 is 489975.

57998400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57998401) 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 23 ways as a sum of consecutive naturals, for example, 206260 + ... + 206540.

Almost surely, 2^57998400 is an apocalyptic number.

57998400 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 57998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97700592).

57998400 is an abundant number, since it is smaller than the sum of its proper divisors (137402784).

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

57998400 is a wasteful number, since it uses less digits than its factorization.

57998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 57998400 is about 7615.6680599932. The cubic root of 57998400 is about 387.0841046033.

The spelling of 57998400 in words is "fifty-seven million, nine hundred ninety-eight thousand, four hundred".