48605040 has 360 divisors, whose sum is σ = 198991728. Its totient is φ = 10506240.

The previous prime is 48605027. The next prime is 48605041. The reversal of 48605040 is 4050684.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 48604995 and 48605013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48605041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2558151 + ... + 2558169.

Almost surely, 2^48605040 is an apocalyptic number.

48605040 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 48605040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99495864).

48605040 is an abundant number, since it is smaller than the sum of its proper divisors (150386688).

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

48605040 is a wasteful number, since it uses less digits than its factorization.

48605040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 48605040 is about 6971.7314922478. The cubic root of 48605040 is about 364.9447342358.

The spelling of 48605040 in words is "forty-eight million, six hundred five thousand, forty".