397647936 has 252 divisors, whose sum is σ = 1351000092. Its totient is φ = 111476736.

The previous prime is 397647919. The next prime is 397647949. The reversal of 397647936 is 639746793.

It can be written as a sum of positive squares in 2 ways, for example, as 158760000 + 238887936 = 12600^2 + 15456^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2060256 + ... + 2060448.

Almost surely, 2^397647936 is an apocalyptic number.

397647936 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 397647936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675500046).

397647936 is an abundant number, since it is smaller than the sum of its proper divisors (953352156).

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

397647936 is a wasteful number, since it uses less digits than its factorization.

397647936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 278 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 397647936 is about 19941.1117042155. Note that the first 3 decimals coincide. The cubic root of 397647936 is about 735.3592801316.

The spelling of 397647936 in words is "three hundred ninety-seven million, six hundred forty-seven thousand, nine hundred thirty-six".