48777480 has 192 divisors, whose sum is σ = 170501760. Its totient is φ = 12063744.

The previous prime is 48777479. The next prime is 48777499. The reversal of 48777480 is 8477784.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355972 + ... + 356108.

It is an arithmetic number, because the mean of its divisors is an integer number (888030).

Almost surely, 2^48777480 is an apocalyptic number.

48777480 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 48777480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85250880).

48777480 is an abundant number, since it is smaller than the sum of its proper divisors (121724280).

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

48777480 is a wasteful number, since it uses less digits than its factorization.

48777480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 48777480 is about 6984.0876283162. The cubic root of 48777480 is about 365.3758060920.

The spelling of 48777480 in words is "forty-eight million, seven hundred seventy-seven thousand, four hundred eighty".