49481600 has 144 divisors (see below), whose sum is σ = 142732680. Its totient is φ = 16604160.

The previous prime is 49481581. The next prime is 49481603. The reversal of 49481600 is 618494.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49481603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1052777 + ... + 1052823.

Almost surely, 2^49481600 is an apocalyptic number.

49481600 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 49481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71366340).

49481600 is an abundant number, since it is smaller than the sum of its proper divisors (93251080).

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

49481600 is an equidigital number, since it uses as much as digits as its factorization.

49481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 49481600 is about 7034.3158871350. The cubic root of 49481600 is about 367.1255228729.

The spelling of 49481600 in words is "forty-nine million, four hundred eighty-one thousand, six hundred".