49480960 has 144 divisors (see below), whose sum is σ = 129507840. Its totient is φ = 18063360.

The previous prime is 49480913. The next prime is 49480969. The reversal of 49480960 is 6908494.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49480969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1150699 + ... + 1150741.

It is an arithmetic number, because the mean of its divisors is an integer number (899360).

Almost surely, 2^49480960 is an apocalyptic number.

49480960 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 49480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64753920).

49480960 is an abundant number, since it is smaller than the sum of its proper divisors (80026880).

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

49480960 is a wasteful number, since it uses less digits than its factorization.

49480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 49480960 is about 7034.2703957127. The cubic root of 49480960 is about 367.1239400532.

The spelling of 49480960 in words is "forty-nine million, four hundred eighty thousand, nine hundred sixty".