49845600 has 432 divisors, whose sum is σ = 214486272. Its totient is φ = 10644480.

The previous prime is 49845583. The next prime is 49845611. The reversal of 49845600 is 654894.

49845600 is a `hidden beast` number, since 4 + 9 + 8 + 45 + 600 = 666.

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

It is a congruent number.

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, 1159179 + ... + 1159221.

It is an arithmetic number, because the mean of its divisors is an integer number (496496).

Almost surely, 2^49845600 is an apocalyptic number.

49845600 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 49845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136).

49845600 is an abundant number, since it is smaller than the sum of its proper divisors (164640672).

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

49845600 is a wasteful number, since it uses less digits than its factorization.

49845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 49845600 is about 7060.1416416386. The cubic root of 49845600 is about 368.0235492176.

The spelling of 49845600 in words is "forty-nine million, eight hundred forty-five thousand, six hundred".