48629760 has 96 divisors (see below), whose sum is σ = 155675520. Its totient is φ = 12959744.

The previous prime is 48629719. The next prime is 48629761. The reversal of 48629760 is 6792684.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (48629761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29929 + ... + 31511.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^48629760 is an apocalyptic number.

48629760 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 48629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77837760).

48629760 is an abundant number, since it is smaller than the sum of its proper divisors (107045760).

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

48629760 is a wasteful number, since it uses less digits than its factorization.

48629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 48629760 is about 6973.5041406742. The cubic root of 48629760 is about 365.0065927376.

The spelling of 48629760 in words is "forty-eight million, six hundred twenty-nine thousand, seven hundred sixty".