1044414648 has 160 divisors (see below), whose sum is σ = 3155922000. Its totient is φ = 321615360.

The previous prime is 1044414643. The next prime is 1044414649. The reversal of 1044414648 is 8464144401.

1044414648 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 4 + 1 + 4 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044414641) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 503758 + ... + 505826.

Almost surely, 2^1044414648 is an apocalyptic number.

1044414648 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 1044414648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577961000).

1044414648 is an abundant number, since it is smaller than the sum of its proper divisors (2111507352).

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

1044414648 is a wasteful number, since it uses less digits than its factorization.

1044414648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1044414648 is about 32317.4047225330. The cubic root of 1044414648 is about 1014.5909513542.

The spelling of 1044414648 in words is "one billion, forty-four million, four hundred fourteen thousand, six hundred forty-eight".