1959441408 has 176 divisors, whose sum is σ = 5858022720. Its totient is φ = 646963200.

The previous prime is 1959441401. The next prime is 1959441413. The reversal of 1959441408 is 8041449591.

It is a happy number.

1959441408 is a `hidden beast` number, since 19 + 594 + 4 + 1 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1959441401) 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, 3621618 + ... + 3622158.

It is an arithmetic number, because the mean of its divisors is an integer number (33284220).

Almost surely, 2^1959441408 is an apocalyptic number.

1959441408 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 1959441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929011360).

1959441408 is an abundant number, since it is smaller than the sum of its proper divisors (3898581312).

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

1959441408 is a wasteful number, since it uses less digits than its factorization.

1959441408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1959441408 is about 44265.5781392269. The cubic root of 1959441408 is about 1251.3460503718.

The spelling of 1959441408 in words is "one billion, nine hundred fifty-nine million, four hundred forty-one thousand, four hundred eight".