1395947520 has 672 divisors, whose sum is σ = 5800682160. Its totient is φ = 318504960.

The previous prime is 1395947513. The next prime is 1395947561. The reversal of 1395947520 is 257495931.

It is a happy number.

1395947520 is a `hidden beast` number, since 1 + 3 + 9 + 594 + 7 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 82114552 + ... + 82114568.

Almost surely, 2^1395947520 is an apocalyptic number.

1395947520 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 1395947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900341080).

1395947520 is an abundant number, since it is smaller than the sum of its proper divisors (4404734640).

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

1395947520 is an equidigital number, since it uses as much as digits as its factorization.

1395947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 1395947520 is about 37362.3810804397. The cubic root of 1395947520 is about 1117.6085025947.

The spelling of 1395947520 in words is "one billion, three hundred ninety-five million, nine hundred forty-seven thousand, five hundred twenty".