48065040 has 120 divisors (see below), whose sum is σ = 162673368. Its totient is φ = 12718080.

The previous prime is 48065033. The next prime is 48065047. The reversal of 48065040 is 4056084.

48065040 is a `hidden beast` number, since 4 + 8 + 0 + 650 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48065033) and next prime (48065047).

It can be written as a sum of positive squares in 4 ways, for example, as 3549456 + 44515584 = 1884^2 + 6672^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×48065040³ (a number of 24 digits) contains 333 as substring.

48065040 is a modest number, since divided by 65040 gives 480 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 48064995 and 48065013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48065047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173382 + ... + 173658.

Almost surely, 2^48065040 is an apocalyptic number.

48065040 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 48065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81336684).

48065040 is an abundant number, since it is smaller than the sum of its proper divisors (114608328).

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

48065040 is a wasteful number, since it uses less digits than its factorization.

48065040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 528 counting only the distinct ones).

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

The square root of 48065040 is about 6932.8954989961. The cubic root of 48065040 is about 363.5881910429.

It can be divided in two parts, 480650 and 40, that added together give a triangular number (480690 = T₉₈₀).

The spelling of 48065040 in words is "forty-eight million, sixty-five thousand, forty".