49406880 has 48 divisors (see below), whose sum is σ = 155633184. Its totient is φ = 13175040.

The previous prime is 49406873. The next prime is 49406881. The reversal of 49406880 is 8860494.

49406880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (49406881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50986 + ... + 51945.

It is an arithmetic number, because the mean of its divisors is an integer number (3242358).

Almost surely, 2^49406880 is an apocalyptic number.

49406880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49406880 is an abundant number, since it is smaller than the sum of its proper divisors (106226304).

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

49406880 is a wasteful number, since it uses less digits than its factorization.

49406880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102949 (or 102941 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 49406880 is about 7029.0027742205. The cubic root of 49406880 is about 366.9406363802.

Subtracting from 49406880 its sum of digits (39), we obtain a square (49406841 = 7029²).

The spelling of 49406880 in words is "forty-nine million, four hundred six thousand, eight hundred eighty".