49890600 has 96 divisors (see below), whose sum is σ = 171864000. Its totient is φ = 13302720.

The previous prime is 49890587. The next prime is 49890601. The reversal of 49890600 is 609894.

49890600 is a `hidden beast` number, since 49 + 8 + 9 + 0 + 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 not an unprimeable number, because it can be changed into a prime (49890601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781 + ... + 10019.

It is an arithmetic number, because the mean of its divisors is an integer number (1790250).

Almost surely, 2^49890600 is an apocalyptic number.

49890600 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 49890600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85932000).

49890600 is an abundant number, since it is smaller than the sum of its proper divisors (121973400).

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

49890600 is a wasteful number, since it uses less digits than its factorization.

49890600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9264 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 49890600 is about 7063.3278275895. The cubic root of 49890600 is about 368.1342649646.

The spelling of 49890600 in words is "forty-nine million, eight hundred ninety thousand, six hundred".