48177480 has 128 divisors (see below), whose sum is σ = 157852800. Its totient is φ = 11692032.

The previous prime is 48177463. The next prime is 48177487. The reversal of 48177480 is 8477184.

It is a Cunningham number, because it is equal to 6941²-1.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (48177487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138667 + ... + 139013.

It is an arithmetic number, because the mean of its divisors is an integer number (1233225).

Almost surely, 2^48177480 is an apocalyptic number.

48177480 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 48177480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78926400).

48177480 is an abundant number, since it is smaller than the sum of its proper divisors (109675320).

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

48177480 is a wasteful number, since it uses less digits than its factorization.

48177480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 48177480 is about 6940.9999279643. Note that the first 4 decimals coincide. The cubic root of 48177480 is about 363.8714878621.

The spelling of 48177480 in words is "forty-eight million, one hundred seventy-seven thousand, four hundred eighty".