1597905456 has 80 divisors (see below), whose sum is σ = 4827381504. Its totient is φ = 445923072.

The previous prime is 1597905409. The next prime is 1597905457. The reversal of 1597905456 is 6545097951.

It is a junction number, because it is equal to n+sod(n) for n = 1597905399 and 1597905408.

It is not an unprimeable number, because it can be changed into a prime (1597905457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40851 + ... + 69746.

Almost surely, 2^1597905456 is an apocalyptic number.

1597905456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1597905456 is an abundant number, since it is smaller than the sum of its proper divisors (3229476048).

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

1597905456 is a wasteful number, since it uses less digits than its factorization.

1597905456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110658 (or 110652 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 51.

The square root of 1597905456 is about 39973.8096258037. The cubic root of 1597905456 is about 1169.0964987639.

The spelling of 1597905456 in words is "one billion, five hundred ninety-seven million, nine hundred five thousand, four hundred fifty-six".