1960414848 has 384 divisors, whose sum is σ = 6816700800. Its totient is φ = 528998400.

The previous prime is 1960414843. The next prime is 1960414879. The reversal of 1960414848 is 8484140691.

1960414848 is a `hidden beast` number, since 196 + 0 + 414 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (1960414843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19409998 + ... + 19410098.

It is an arithmetic number, because the mean of its divisors is an integer number (17751825).

Almost surely, 2^1960414848 is an apocalyptic number.

1960414848 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 1960414848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408350400).

1960414848 is an abundant number, since it is smaller than the sum of its proper divisors (4856285952).

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

1960414848 is a wasteful number, since it uses less digits than its factorization.

1960414848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1960414848 is about 44276.5722250492. The cubic root of 1960414848 is about 1251.5532367384.

It can be divided in two parts, 19604 and 14848, that multiplied together give a palindrome (291080192).

The spelling of 1960414848 in words is "one billion, nine hundred sixty million, four hundred fourteen thousand, eight hundred forty-eight".