397241760 has 96 divisors (see below), whose sum is σ = 1271918592. Its totient is φ = 104186880.

The previous prime is 397241753. The next prime is 397241807. The reversal of 397241760 is 67142793.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22497 + ... + 36063.

It is an arithmetic number, because the mean of its divisors is an integer number (13249152).

Almost surely, 2^397241760 is an apocalyptic number.

397241760 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 397241760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635959296).

397241760 is an abundant number, since it is smaller than the sum of its proper divisors (874676832).

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

397241760 is a wasteful number, since it uses less digits than its factorization.

397241760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13646 (or 13638 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 397241760 is about 19930.9247151255. The cubic root of 397241760 is about 735.1088181705.

The spelling of 397241760 in words is "three hundred ninety-seven million, two hundred forty-one thousand, seven hundred sixty".