1395852480 has 448 divisors, whose sum is σ = 5661964800. Its totient is φ = 320163840.

The previous prime is 1395852427. The next prime is 1395852481. The reversal of 1395852480 is 842585931.

1395852480 is a `hidden beast` number, since 1 + 3 + 95 + 85 + 2 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1395852481) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1805374 + ... + 1806146.

Almost surely, 2^1395852480 is an apocalyptic number.

1395852480 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 1395852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830982400).

1395852480 is an abundant number, since it is smaller than the sum of its proper divisors (4266112320).

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

1395852480 is a wasteful number, since it uses less digits than its factorization.

1395852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 1395852480 is about 37361.1091912432. The cubic root of 1395852480 is about 1117.5831387180.

The spelling of 1395852480 in words is "one billion, three hundred ninety-five million, eight hundred fifty-two thousand, four hundred eighty".