1395606240 has 576 divisors, whose sum is σ = 5998406400. Its totient is φ = 301335552.

The previous prime is 1395606227. The next prime is 1395606253. The reversal of 1395606240 is 426065931.

It is a happy number.

1395606240 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 606 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1395606227) and next prime (1395606253).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1395606195 and 1395606204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4021747 + ... + 4022093.

It is an arithmetic number, because the mean of its divisors is an integer number (10413900).

Almost surely, 2^1395606240 is an apocalyptic number.

1395606240 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 1395606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999203200).

1395606240 is an abundant number, since it is smaller than the sum of its proper divisors (4602800160).

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

1395606240 is a wasteful number, since it uses less digits than its factorization.

1395606240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1395606240 is about 37357.8136405224. The cubic root of 1395606240 is about 1117.5174178628.

The spelling of 1395606240 in words is "one billion, three hundred ninety-five million, six hundred six thousand, two hundred forty".