397418436 has 72 divisors (see below), whose sum is σ = 1049794200. Its totient is φ = 126604800.

The previous prime is 397418429. The next prime is 397418447. The reversal of 397418436 is 634814793.

It can be written as a sum of positive squares in 4 ways, for example, as 235008900 + 162409536 = 15330^2 + 12744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 397418391 and 397418400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103560 + ... + 107328.

It is an arithmetic number, because the mean of its divisors is an integer number (14580475).

Almost surely, 2^397418436 is an apocalyptic number.

397418436 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 397418436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524897100).

397418436 is an abundant number, since it is smaller than the sum of its proper divisors (652375764).

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

397418436 is a wasteful number, since it uses less digits than its factorization.

397418436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3904 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 397418436 is about 19935.3564302222. The cubic root of 397418436 is about 735.2177835823.

The spelling of 397418436 in words is "three hundred ninety-seven million, four hundred eighteen thousand, four hundred thirty-six".