48177760 has 48 divisors (see below), whose sum is σ = 115450272. Its totient is φ = 18995200.

The previous prime is 48177743. The next prime is 48177761. The reversal of 48177760 is 6777184.

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 (48177761) 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, 9240 + ... + 13480.

It is an arithmetic number, because the mean of its divisors is an integer number (2405214).

Almost surely, 2^48177760 is an apocalyptic number.

48177760 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 48177760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57725136).

48177760 is an abundant number, since it is smaller than the sum of its proper divisors (67272512).

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

48177760 is a wasteful number, since it uses less digits than its factorization.

48177760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The square root of 48177760 is about 6941.0200979395. The cubic root of 48177760 is about 363.8721927822.

The spelling of 48177760 in words is "forty-eight million, one hundred seventy-seven thousand, seven hundred sixty".