49434880 has 72 divisors (see below), whose sum is σ = 129213504. Its totient is φ = 17971200.

The previous prime is 49434841. The next prime is 49434887. The reversal of 49434880 is 8843494.

It is a super-2 number, since 2×49434880² = 4887614721228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (49434887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12325 + ... + 15835.

It is an arithmetic number, because the mean of its divisors is an integer number (1794632).

Almost surely, 2^49434880 is an apocalyptic number.

49434880 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 49434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64606752).

49434880 is an abundant number, since it is smaller than the sum of its proper divisors (79778624).

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

49434880 is a wasteful number, since it uses less digits than its factorization.

49434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 49434880 is about 7030.9942397928. The cubic root of 49434880 is about 367.0099411513.

The spelling of 49434880 in words is "forty-nine million, four hundred thirty-four thousand, eight hundred eighty".