48661440 has 112 divisors (see below), whose sum is σ = 155923488. Its totient is φ = 12857344.

The previous prime is 48661433. The next prime is 48661477. The reversal of 48661440 is 4416684.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165934 + ... + 166226.

It is an arithmetic number, because the mean of its divisors is an integer number (1392174).

Almost surely, 2^48661440 is an apocalyptic number.

48661440 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 48661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77961744).

48661440 is an abundant number, since it is smaller than the sum of its proper divisors (107262048).

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

48661440 is a wasteful number, since it uses less digits than its factorization.

48661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48661440 is about 6975.7752257366. The cubic root of 48661440 is about 365.0858370711.

The spelling of 48661440 in words is "forty-eight million, six hundred sixty-one thousand, four hundred forty".