1948281600 has 432 divisors, whose sum is σ = 7007551488. Its totient is φ = 474808320.

The previous prime is 1948281593. The next prime is 1948281607. The reversal of 1948281600 is 61828491.

1948281600 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (1948281593) and next prime (1948281607).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1948281607) 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, 15340737 + ... + 15340863.

It is an arithmetic number, because the mean of its divisors is an integer number (16221184).

Almost surely, 2^1948281600 is an apocalyptic number.

1948281600 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 1948281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503775744).

1948281600 is an abundant number, since it is smaller than the sum of its proper divisors (5059269888).

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

1948281600 is a wasteful number, since it uses less digits than its factorization.

1948281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 1948281600 is about 44139.3429946573. The cubic root of 1948281600 is about 1248.9658860559.

The spelling of 1948281600 in words is "one billion, nine hundred forty-eight million, two hundred eighty-one thousand, six hundred".