1905349248 has 144 divisors (see below), whose sum is σ = 6027034650. Its totient is φ = 577336320.

The previous prime is 1905349231. The next prime is 1905349267. The reversal of 1905349248 is 8429435091.

1905349248 is a `hidden beast` number, since 1 + 90 + 534 + 9 + 24 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1425213504 + 480135744 = 37752^2 + 21912^2 .

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

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 17 ways as a sum of consecutive naturals, for example, 132558 + ... + 146226.

Almost surely, 2^1905349248 is an apocalyptic number.

1905349248 is a gapful number since it is divisible by the number (18) 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 1905349248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013517325).

1905349248 is an abundant number, since it is smaller than the sum of its proper divisors (4121685402).

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

1905349248 is a wasteful number, since it uses less digits than its factorization.

1905349248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13711 (or 13685 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1905349248 is about 43650.3063906773. The cubic root of 1905349248 is about 1239.7235873653.

It can be divided in two parts, 1905 and 349248, that added together give a palindrome (351153).

The spelling of 1905349248 in words is "one billion, nine hundred five million, three hundred forty-nine thousand, two hundred forty-eight".