1948265700 has 144 divisors (see below), whose sum is σ = 5978784000. Its totient is φ = 488453760.

The previous prime is 1948265699. The next prime is 1948265701. The reversal of 1948265700 is 75628491.

1948265700 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1948265699) and next prime (1948265701).

It is not an unprimeable number, because it can be changed into a prime (1948265701) 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, 791071 + ... + 793529.

Almost surely, 2^1948265700 is an apocalyptic number.

1948265700 is a gapful number since it is divisible by the number (10) 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 1948265700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989392000).

1948265700 is an abundant number, since it is smaller than the sum of its proper divisors (4030518300).

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

1948265700 is a wasteful number, since it uses less digits than its factorization.

1948265700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1948265700 is about 44139.1628828640. The cubic root of 1948265700 is about 1248.9624884274.

The spelling of 1948265700 in words is "one billion, nine hundred forty-eight million, two hundred sixty-five thousand, seven hundred".