397682880 has 448 divisors, whose sum is σ = 1573060608. Its totient is φ = 83128320.

The previous prime is 397682827. The next prime is 397682881. The reversal of 397682880 is 88286793.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (397682881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4791319 + ... + 4791401.

It is an arithmetic number, because the mean of its divisors is an integer number (3511296).

Almost surely, 2^397682880 is an apocalyptic number.

397682880 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 397682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786530304).

397682880 is an abundant number, since it is smaller than the sum of its proper divisors (1175377728).

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

397682880 is a wasteful number, since it uses less digits than its factorization.

397682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 397682880 is about 19941.9878648043. The cubic root of 397682880 is about 735.3808198235.

The spelling of 397682880 in words is "three hundred ninety-seven million, six hundred eighty-two thousand, eight hundred eighty".