1535385856 has 81 divisors (see below), whose sum is σ = 3207420783. Its totient is φ = 733524480.

The previous prime is 1535385853. The next prime is 1535385883. The reversal of 1535385856 is 6585835351.

The square root of 1535385856 is 39184.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1535385853) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19435225 + ... + 19435303.

Almost surely, 2^1535385856 is an apocalyptic number.

1535385856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1535385856 is the 39184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1535385856

1535385856 is an abundant number, since it is smaller than the sum of its proper divisors (1672034927).

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

1535385856 is an frugal number, since it uses more digits than its factorization.

1535385856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 112 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 49.

The cubic root of 1535385856 is about 1153.6458598923.

Multiplying 1535385856 by its sum of digits (49), we get a square (75233906944 = 274288²).

The spelling of 1535385856 in words is "one billion, five hundred thirty-five million, three hundred eighty-five thousand, eight hundred fifty-six".