597972960 has 288 divisors, whose sum is σ = 2328056640. Its totient is φ = 138461184.

The previous prime is 597972941. The next prime is 597972961. The reversal of 597972960 is 69279795.

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 = 597972897 and 597972906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (597972961) 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, 317301 + ... + 319179.

It is an arithmetic number, because the mean of its divisors is an integer number (8083530).

Almost surely, 2^597972960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 597972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164028320).

597972960 is an abundant number, since it is smaller than the sum of its proper divisors (1730083680).

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

597972960 is a wasteful number, since it uses less digits than its factorization.

597972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The square root of 597972960 is about 24453.4856411106. The cubic root of 597972960 is about 842.4817760295.

The spelling of 597972960 in words is "five hundred ninety-seven million, nine hundred seventy-two thousand, nine hundred sixty".