48066480 has 480 divisors, whose sum is σ = 219271680. Its totient is φ = 9400320.

The previous prime is 48066467. The next prime is 48066517. The reversal of 48066480 is 8466084.

48066480 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 648 + 0 = 666.

It is a super-3 number, since 3×48066480³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2827432 + ... + 2827448.

It is an arithmetic number, because the mean of its divisors is an integer number (456816).

Almost surely, 2^48066480 is an apocalyptic number.

48066480 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 48066480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109635840).

48066480 is an abundant number, since it is smaller than the sum of its proper divisors (171205200).

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

48066480 is a wasteful number, since it uses less digits than its factorization.

48066480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 48066480 is about 6932.9993509303. Note that the first 3 decimals coincide. The cubic root of 48066480 is about 363.5918219686.

The spelling of 48066480 in words is "forty-eight million, sixty-six thousand, four hundred eighty".