1395420384 has 192 divisors, whose sum is σ = 4009243392. Its totient is φ = 423321600.

The previous prime is 1395420361. The next prime is 1395420443. The reversal of 1395420384 is 4830245931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10651999 + ... + 10652129.

It is an arithmetic number, because the mean of its divisors is an integer number (20881476).

Almost surely, 2^1395420384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1395420384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004621696).

1395420384 is an abundant number, since it is smaller than the sum of its proper divisors (2613823008).

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

1395420384 is a wasteful number, since it uses less digits than its factorization.

1395420384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 1395420384 is about 37355.3260459603. The cubic root of 1395420384 is about 1117.4678082304.

The spelling of 1395420384 in words is "one billion, three hundred ninety-five million, four hundred twenty thousand, three hundred eighty-four".