1868825280 has 448 divisors, whose sum is σ = 7111544832. Its totient is φ = 406978560.

The previous prime is 1868825243. The next prime is 1868825291. The reversal of 1868825280 is 825288681.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19266192 + ... + 19266288.

It is an arithmetic number, because the mean of its divisors is an integer number (15873984).

Almost surely, 2^1868825280 is an apocalyptic number.

1868825280 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 1868825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555772416).

1868825280 is an abundant number, since it is smaller than the sum of its proper divisors (5242719552).

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

1868825280 is a wasteful number, since it uses less digits than its factorization.

1868825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The square root of 1868825280 is about 43229.9118666694. The cubic root of 1868825280 is about 1231.7509335156.

The spelling of 1868825280 in words is "one billion, eight hundred sixty-eight million, eight hundred twenty-five thousand, two hundred eighty".