48815840 has 96 divisors (see below), whose sum is σ = 123941664. Its totient is φ = 18104320.

The previous prime is 48815831. The next prime is 48815849. The reversal of 48815840 is 4851884.

It is an interprime number because it is at equal distance from previous prime (48815831) and next prime (48815849).

It is a junction number, because it is equal to n+sod(n) for n = 48815794 and 48815803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48815849) 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, 356252 + ... + 356388.

It is an arithmetic number, because the mean of its divisors is an integer number (1291059).

Almost surely, 2^48815840 is an apocalyptic number.

48815840 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 48815840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61970832).

48815840 is an abundant number, since it is smaller than the sum of its proper divisors (75125824).

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

48815840 is a wasteful number, since it uses less digits than its factorization.

48815840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 38.

The square root of 48815840 is about 6986.8333313455. The cubic root of 48815840 is about 365.4715616428.

The spelling of 48815840 in words is "forty-eight million, eight hundred fifteen thousand, eight hundred forty".