48579480 has 128 divisors (see below), whose sum is σ = 167270400. Its totient is φ = 12528000.

The previous prime is 48579463. The next prime is 48579539. The reversal of 48579480 is 8497584.

48579480 is a `hidden beast` number, since 485 + 7 + 94 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32755 + ... + 34205.

It is an arithmetic number, because the mean of its divisors is an integer number (1306800).

Almost surely, 2^48579480 is an apocalyptic number.

48579480 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 48579480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83635200).

48579480 is an abundant number, since it is smaller than the sum of its proper divisors (118690920).

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

48579480 is a wasteful number, since it uses less digits than its factorization.

48579480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 48579480 is about 6969.8981341193. The cubic root of 48579480 is about 364.8807516873.

The spelling of 48579480 in words is "forty-eight million, five hundred seventy-nine thousand, four hundred eighty".