1395162720 has 288 divisors, whose sum is σ = 5532770880. Its totient is φ = 313528320.

The previous prime is 1395162701. The next prime is 1395162751. The reversal of 1395162720 is 272615931.

1395162720 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 1 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 613746 + ... + 616014.

It is an arithmetic number, because the mean of its divisors is an integer number (19211010).

Almost surely, 2^1395162720 is an apocalyptic number.

1395162720 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 1395162720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766385440).

1395162720 is an abundant number, since it is smaller than the sum of its proper divisors (4137608160).

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

1395162720 is a wasteful number, since it uses less digits than its factorization.

1395162720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1395162720 is about 37351.8770612669. The cubic root of 1395162720 is about 1117.3990239528.

The spelling of 1395162720 in words is "one billion, three hundred ninety-five million, one hundred sixty-two thousand, seven hundred twenty".