48990240 has 144 divisors (see below), whose sum is σ = 180107928. Its totient is φ = 12054528.

The previous prime is 48990233. The next prime is 48990247. The reversal of 48990240 is 4209984.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48990233) and next prime (48990247).

It can be written as a sum of positive squares in 4 ways, for example, as 43401744 + 5588496 = 6588^2 + 2364^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48990195 and 48990204.

It is not an unprimeable number, because it can be changed into a prime (48990247) 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, 17412 + ... + 20028.

Almost surely, 2^48990240 is an apocalyptic number.

48990240 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 48990240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90053964).

48990240 is an abundant number, since it is smaller than the sum of its proper divisors (131117688).

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

48990240 is a wasteful number, since it uses less digits than its factorization.

48990240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 48990240 is about 6999.3028224245. The cubic root of 48990240 is about 365.9062735906.

The spelling of 48990240 in words is "forty-eight million, nine hundred ninety thousand, two hundred forty".