48438405 has 56 divisors (see below), whose sum is σ = 88690392. Its totient is φ = 25380864.

The previous prime is 48438373. The next prime is 48438407. The reversal of 48438405 is 50483484.

It can be written as a sum of positive squares in 4 ways, for example, as 5391684 + 43046721 = 2322^2 + 6561^2 .

It is not a de Polignac number, because 48438405 - 2⁵ = 48438373 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 48438405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48438407) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 353497 + ... + 353633.

It is an arithmetic number, because the mean of its divisors is an integer number (1583757).

Almost surely, 2^48438405 is an apocalyptic number.

48438405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48438405 is a deficient number, since it is larger than the sum of its proper divisors (40251987).

48438405 is an equidigital number, since it uses as much as digits as its factorization.

48438405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 48438405 is about 6959.7704703532. The cubic root of 48438405 is about 364.5272041881.

The spelling of 48438405 in words is "forty-eight million, four hundred thirty-eight thousand, four hundred five".