49839600 has 120 divisors (see below), whose sum is σ = 163708272. Its totient is φ = 12953600.

The previous prime is 49839589. The next prime is 49839613. The reversal of 49839600 is 693894.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48694 + ... + 49706.

Almost surely, 2^49839600 is an apocalyptic number.

49839600 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 49839600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81854136).

49839600 is an abundant number, since it is smaller than the sum of its proper divisors (113868672).

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

49839600 is a wasteful number, since it uses less digits than its factorization.

49839600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 49839600 is about 7059.7167081973. The cubic root of 49839600 is about 368.0087820841.

The spelling of 49839600 in words is "forty-nine million, eight hundred thirty-nine thousand, six hundred".