48390560 has 48 divisors (see below), whose sum is σ = 118276200. Its totient is φ = 18686976.

The previous prime is 48390557. The next prime is 48390583. The reversal of 48390560 is 6509384.

It can be written as a sum of positive squares in 4 ways, for example, as 47831056 + 559504 = 6916^2 + 748^2 .

It is a super-2 number, since 2×48390560² = 4683292594227200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48390560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575 + ... + 9854.

Almost surely, 2^48390560 is an apocalyptic number.

48390560 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 48390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59138100).

48390560 is an abundant number, since it is smaller than the sum of its proper divisors (69885640).

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

48390560 is a wasteful number, since it uses less digits than its factorization.

48390560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10473 (or 10465 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 48390560 is about 6956.3323669876. The cubic root of 48390560 is about 364.4071441544.

The spelling of 48390560 in words is "forty-eight million, three hundred ninety thousand, five hundred sixty".