49679280 has 120 divisors (see below), whose sum is σ = 190693152. Its totient is φ = 11354112.

The previous prime is 49679221. The next prime is 49679297. The reversal of 49679280 is 8297694.

It is a happy number.

49679280 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 (120).

It is a super-2 number, since 2×49679280² = 4936061722636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 112 + ... + 9968.

Almost surely, 2^49679280 is an apocalyptic number.

49679280 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 49679280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95346576).

49679280 is an abundant number, since it is smaller than the sum of its proper divisors (141013872).

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

49679280 is a wasteful number, since it uses less digits than its factorization.

49679280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9883 (or 9874 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 49679280 is about 7048.3529991055. The cubic root of 49679280 is about 367.6137645846.

The spelling of 49679280 in words is "forty-nine million, six hundred seventy-nine thousand, two hundred eighty".