48029760 has 280 divisors, whose sum is σ = 182559960. Its totient is φ = 11943936.

The previous prime is 48029759. The next prime is 48029767. The reversal of 48029760 is 6792084.

It can be written as a sum of positive squares in 4 ways, for example, as 14017536 + 34012224 = 3744^2 + 5832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48029767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440586 + ... + 440694.

Almost surely, 2^48029760 is an apocalyptic number.

48029760 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 48029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91279980).

48029760 is an abundant number, since it is smaller than the sum of its proper divisors (134530200).

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

48029760 is a wasteful number, since it uses less digits than its factorization.

48029760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 48029760 is about 6930.3506404799. The cubic root of 48029760 is about 363.4992107007.

The spelling of 48029760 in words is "forty-eight million, twenty-nine thousand, seven hundred sixty".