397617792 has 192 divisors, whose sum is σ = 1249875360. Its totient is φ = 111022080.

The previous prime is 397617763. The next prime is 397617827. The reversal of 397617792 is 297716793.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713578 + ... + 714134.

Almost surely, 2^397617792 is an apocalyptic number.

397617792 is a gapful number since it is divisible by the number (32) 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 397617792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624937680).

397617792 is an abundant number, since it is smaller than the sum of its proper divisors (852257568).

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

397617792 is a wasteful number, since it uses less digits than its factorization.

397617792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 586 counting only the distinct ones).

The product of its digits is 1000188, while the sum is 51.

The square root of 397617792 is about 19940.3558644273. The cubic root of 397617792 is about 735.3406981749.

Subtracting from 397617792 its reverse (297716793), we obtain a palindrome (99900999).

The spelling of 397617792 in words is "three hundred ninety-seven million, six hundred seventeen thousand, seven hundred ninety-two".