49863600 has 270 divisors, whose sum is σ = 189144020. Its totient is φ = 12597120.

The previous prime is 49863587. The next prime is 49863607. The reversal of 49863600 is 636894.

49863600 is a `hidden beast` number, since 49 + 8 + 6 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

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

It is not an unprimeable number, because it can be changed into a prime (49863607) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2624391 + ... + 2624409.

Almost surely, 2^49863600 is an apocalyptic number.

49863600 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 49863600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94572010).

49863600 is an abundant number, since it is smaller than the sum of its proper divisors (139280420).

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

49863600 is an equidigital number, since it uses as much as digits as its factorization.

49863600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 49863600 is about 7061.4162885359. The cubic root of 49863600 is about 368.0678435094.

The spelling of 49863600 in words is "forty-nine million, eight hundred sixty-three thousand, six hundred".