49088600 has 96 divisors (see below), whose sum is σ = 127157040. Its totient is φ = 17472000.

The previous prime is 49088597. The next prime is 49088617. The reversal of 49088600 is 688094.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 116390 + ... + 116810.

Almost surely, 2^49088600 is an apocalyptic number.

49088600 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 49088600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63578520).

49088600 is an abundant number, since it is smaller than the sum of its proper divisors (78068440).

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

49088600 is a wasteful number, since it uses less digits than its factorization.

49088600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 49088600 is about 7006.3257132394. The cubic root of 49088600 is about 366.1509922751.

The spelling of 49088600 in words is "forty-nine million, eighty-eight thousand, six hundred".