397809792 has 320 divisors, whose sum is σ = 1308498840. Its totient is φ = 119439360.

The previous prime is 397809767. The next prime is 397809823. The reversal of 397809792 is 297908793.

397809792 is a `hidden beast` number, since 397 + 80 + 97 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 358572096 + 39237696 = 18936^2 + 6264^2 .

It is a super-3 number, since 3×397809792³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6521442 + ... + 6521502.

Almost surely, 2^397809792 is an apocalyptic number.

397809792 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 397809792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654249420).

397809792 is an abundant number, since it is smaller than the sum of its proper divisors (910689048).

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

397809792 is a wasteful number, since it uses less digits than its factorization.

397809792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 397809792 is about 19945.1696407927. The cubic root of 397809792 is about 735.4590385325.

Subtracting from 397809792 its reverse (297908793), we obtain a palindrome (99900999).

The spelling of 397809792 in words is "three hundred ninety-seven million, eight hundred nine thousand, seven hundred ninety-two".