397146240 has 320 divisors, whose sum is σ = 1457343360. Its totient is φ = 103016448.

The previous prime is 397146199. The next prime is 397146247. The reversal of 397146240 is 42641793.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×397146240² = 315450271892275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 397146195 and 397146204.

It is not an unprimeable number, because it can be changed into a prime (397146247) 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, 2436399 + ... + 2436561.

It is an arithmetic number, because the mean of its divisors is an integer number (4554198).

Almost surely, 2^397146240 is an apocalyptic number.

397146240 is a gapful number since it is divisible by the number (30) 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 397146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728671680).

397146240 is an abundant number, since it is smaller than the sum of its proper divisors (1060197120).

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

397146240 is a wasteful number, since it uses less digits than its factorization.

397146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 397146240 is about 19928.5282948842. The cubic root of 397146240 is about 735.0498924899.

It can be divided in two parts, 397146 and 240, that added together give a triangular number (397386 = T₈₉₁).

The spelling of 397146240 in words is "three hundred ninety-seven million, one hundred forty-six thousand, two hundred forty".