1395882880 has 384 divisors, whose sum is σ = 4331980800. Its totient is φ = 419696640.

The previous prime is 1395882877. The next prime is 1395882919. The reversal of 1395882880 is 882885931.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45028465 + ... + 45028495.

It is an arithmetic number, because the mean of its divisors is an integer number (11281200).

Almost surely, 2^1395882880 is an apocalyptic number.

1395882880 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 1395882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165990400).

1395882880 is an abundant number, since it is smaller than the sum of its proper divisors (2936097920).

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

1395882880 is a wasteful number, since it uses less digits than its factorization.

1395882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 52.

The square root of 1395882880 is about 37361.5160291977. The cubic root of 1395882880 is about 1117.5912518677.

The spelling of 1395882880 in words is "one billion, three hundred ninety-five million, eight hundred eighty-two thousand, eight hundred eighty".