48606480 has 200 divisors, whose sum is σ = 182118552. Its totient is φ = 11943936.

The previous prime is 48606473. The next prime is 48606491. The reversal of 48606480 is 8460684.

48606480 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 648 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10265616 + 38340864 = 3204^2 + 6192^2 .

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 39 ways as a sum of consecutive naturals, for example, 83952 + ... + 84528.

Almost surely, 2^48606480 is an apocalyptic number.

48606480 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 48606480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91059276).

48606480 is an abundant number, since it is smaller than the sum of its proper divisors (133512072).

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

48606480 is a wasteful number, since it uses less digits than its factorization.

48606480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 600 counting only the distinct ones).

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

The square root of 48606480 is about 6971.8347656840. The cubic root of 48606480 is about 364.9483382189.

The spelling of 48606480 in words is "forty-eight million, six hundred six thousand, four hundred eighty".