1597745952 has 576 divisors, whose sum is σ = 5791564800. Its totient is φ = 425779200.

The previous prime is 1597745911. The next prime is 1597745957. The reversal of 1597745952 is 2595477951.

It is a happy number.

1597745952 is a `hidden beast` number, since 1 + 597 + 7 + 45 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1597745957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51540177 + ... + 51540207.

It is an arithmetic number, because the mean of its divisors is an integer number (10054800).

Almost surely, 2^1597745952 is an apocalyptic number.

1597745952 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 1597745952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895782400).

1597745952 is an abundant number, since it is smaller than the sum of its proper divisors (4193818848).

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

1597745952 is a wasteful number, since it uses less digits than its factorization.

1597745952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its digits is 3969000, while the sum is 54.

The square root of 1597745952 is about 39971.8144696985. The cubic root of 1597745952 is about 1169.0575974692.

The spelling of 1597745952 in words is "one billion, five hundred ninety-seven million, seven hundred forty-five thousand, nine hundred fifty-two".