1395825600 has 168 divisors, whose sum is σ = 4931958640. Its totient is φ = 343572480.

The previous prime is 1395825577. The next prime is 1395825637. The reversal of 1395825600 is 65285931.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51216 + ... + 73584.

Almost surely, 2^1395825600 is an apocalyptic number.

1395825600 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 1395825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465979320).

1395825600 is an abundant number, since it is smaller than the sum of its proper divisors (3536133040).

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

1395825600 is a wasteful number, since it uses less digits than its factorization.

1395825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22407 (or 22392 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 1395825600 is about 37360.7494571509. The cubic root of 1395825600 is about 1117.5759648874.

The spelling of 1395825600 in words is "one billion, three hundred ninety-five million, eight hundred twenty-five thousand, six hundred".