1896464448 has 112 divisors (see below), whose sum is σ = 5817778560. Its totient is φ = 604657152.

The previous prime is 1896464443. The next prime is 1896464473. The reversal of 1896464448 is 8444646981.

1896464448 is a `hidden beast` number, since 1 + 89 + 64 + 64 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1896464394 and 1896464403.

It is not an unprimeable number, because it can be changed into a prime (1896464443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15886 + ... + 63602.

Almost surely, 2^1896464448 is an apocalyptic number.

1896464448 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 1896464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908889280).

1896464448 is an abundant number, since it is smaller than the sum of its proper divisors (3921314112).

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

1896464448 is a wasteful number, since it uses less digits than its factorization.

1896464448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47761 (or 47745 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 1896464448 is about 43548.4149883782. The cubic root of 1896464448 is about 1237.7936067343.

The spelling of 1896464448 in words is "one billion, eight hundred ninety-six million, four hundred sixty-four thousand, four hundred forty-eight".