1597256352 has 288 divisors, whose sum is σ = 5039994960. Its totient is φ = 477757440.

The previous prime is 1597256351. The next prime is 1597256411. The reversal of 1597256352 is 2536527951.

1597256352 is a `hidden beast` number, since 1 + 5 + 9 + 7 + 2 + 5 + 635 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 799984656 + 797271696 = 28284^2 + 28236^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1597256298 and 1597256307.

It is not an unprimeable number, because it can be changed into a prime (1597256351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14653674 + ... + 14653782.

Almost surely, 2^1597256352 is an apocalyptic number.

1597256352 is a gapful number since it is divisible by the number (12) 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 1597256352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519997480).

1597256352 is an abundant number, since it is smaller than the sum of its proper divisors (3442738608).

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

1597256352 is a wasteful number, since it uses less digits than its factorization.

1597256352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 1597256352 is about 39965.6896850286. The cubic root of 1597256352 is about 1168.9381731696.

The spelling of 1597256352 in words is "one billion, five hundred ninety-seven million, two hundred fifty-six thousand, three hundred fifty-two".