397776096 has 240 divisors, whose sum is σ = 1267857360. Its totient is φ = 121927680.

The previous prime is 397776091. The next prime is 397776109. The reversal of 397776096 is 690677793.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397776091) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2019070 + ... + 2019266.

It is an arithmetic number, because the mean of its divisors is an integer number (5282739).

Almost surely, 2^397776096 is an apocalyptic number.

397776096 is a gapful number since it is divisible by the number (36) 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 397776096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633928680).

397776096 is an abundant number, since it is smaller than the sum of its proper divisors (870081264).

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

397776096 is a wasteful number, since it uses less digits than its factorization.

397776096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The square root of 397776096 is about 19944.3249071008. The cubic root of 397776096 is about 735.4382725551.

The spelling of 397776096 in words is "three hundred ninety-seven million, seven hundred seventy-six thousand, ninety-six".