48417040 has 80 divisors (see below), whose sum is σ = 132848640. Its totient is φ = 16058880.

The previous prime is 48417029. The next prime is 48417049. The reversal of 48417040 is 4071484.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (48417049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15966 + ... + 18754.

It is an arithmetic number, because the mean of its divisors is an integer number (1660608).

Almost surely, 2^48417040 is an apocalyptic number.

48417040 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 48417040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66424320).

48417040 is an abundant number, since it is smaller than the sum of its proper divisors (84431600).

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

48417040 is a wasteful number, since it uses less digits than its factorization.

48417040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 48417040 is about 6958.2354084926. The cubic root of 48417040 is about 364.4736016177.

It can be divided in two parts, 4841 and 7040, that added together give a square (11881 = 109²).

The spelling of 48417040 in words is "forty-eight million, four hundred seventeen thousand, forty".