48781440 has 160 divisors (see below), whose sum is σ = 174392460. Its totient is φ = 12994560.

The previous prime is 48781433. The next prime is 48781457. The reversal of 48781440 is 4418784.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48776256 + 5184 = 6984^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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 = 48781395 and 48781404.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51370 + ... + 52310.

Almost surely, 2^48781440 is an apocalyptic number.

48781440 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 48781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87196230).

48781440 is an abundant number, since it is smaller than the sum of its proper divisors (125611020).

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

48781440 is an equidigital number, since it uses as much as digits as its factorization.

48781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 48781440 is about 6984.3711241600. The cubic root of 48781440 is about 365.3856935035.

The spelling of 48781440 in words is "forty-eight million, seven hundred eighty-one thousand, four hundred forty".