48263040 has 480 divisors, whose sum is σ = 211048200. Its totient is φ = 10450944.

The previous prime is 48263023. The next prime is 48263041. The reversal of 48263040 is 4036284.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 48262995 and 48263013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48263041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2540151 + ... + 2540169.

Almost surely, 2^48263040 is an apocalyptic number.

48263040 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 48263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105524100).

48263040 is an abundant number, since it is smaller than the sum of its proper divisors (162785160).

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

48263040 is a wasteful number, since it uses less digits than its factorization.

48263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 48263040 is about 6947.1605710535. The cubic root of 48263040 is about 364.0867643268.

The spelling of 48263040 in words is "forty-eight million, two hundred sixty-three thousand, forty".