397964516256 has 240 divisors, whose sum is σ = 1205098420680. Its totient is φ = 128755630080.

The previous prime is 397964516239. The next prime is 397964516273. The reversal of 397964516256 is 652615469793.

397964516256 is a `hidden beast` number, since 3 + 9 + 7 + 9 + 64 + 516 + 2 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (397964516239) and next prime (397964516273).

It can be written as a sum of positive squares in 4 ways, for example, as 387207507600 + 10757008656 = 622260^2 + 103716^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 397964516193 and 397964516202.

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, 20926080 + ... + 20945088.

Almost surely, 2^397964516256 is an apocalyptic number.

397964516256 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 397964516256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602549210340).

397964516256 is an abundant number, since it is smaller than the sum of its proper divisors (807133904424).

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

397964516256 is a wasteful number, since it uses less digits than its factorization.

397964516256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19269 (or 19252 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The spelling of 397964516256 in words is "three hundred ninety-seven billion, nine hundred sixty-four million, five hundred sixteen thousand, two hundred fifty-six".