49589400 has 96 divisors (see below), whose sum is σ = 175703040. Its totient is φ = 11333760.

The previous prime is 49589399. The next prime is 49589417. The reversal of 49589400 is 498594.

49589400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 1704 + ... + 10103.

It is an arithmetic number, because the mean of its divisors is an integer number (1830240).

Almost surely, 2^49589400 is an apocalyptic number.

49589400 is a gapful number since it is divisible by the number (40) 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 49589400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87851520).

49589400 is an abundant number, since it is smaller than the sum of its proper divisors (126113640).

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

49589400 is a wasteful number, since it uses less digits than its factorization.

49589400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11833 (or 11824 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 49589400 is about 7041.9741550222. The cubic root of 49589400 is about 367.3919345362.

The spelling of 49589400 in words is "forty-nine million, five hundred eighty-nine thousand, four hundred".