1959930048 has 112 divisors (see below), whose sum is σ = 5272796160. Its totient is φ = 642432000.

The previous prime is 1959930043. The next prime is 1959930053. The reversal of 1959930048 is 8400399591.

It is an interprime number because it is at equal distance from previous prime (1959930043) and next prime (1959930053).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1959929979 and 1959930006.

It is not an unprimeable number, because it can be changed into a prime (1959930043) 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, 4091473 + ... + 4091951.

Almost surely, 2^1959930048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1959930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636398080).

1959930048 is an abundant number, since it is smaller than the sum of its proper divisors (3312866112).

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

1959930048 is a wasteful number, since it uses less digits than its factorization.

1959930048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 1959930048 is about 44271.0972079979. The cubic root of 1959930048 is about 1251.4500607819.

The spelling of 1959930048 in words is "one billion, nine hundred fifty-nine million, nine hundred thirty thousand, forty-eight".