397680 has 40 divisors (see below), whose sum is σ = 1233552. Its totient is φ = 105984.

The previous prime is 397673. The next prime is 397687. The reversal of 397680 is 86793.

397680 = T₅₇ + T₅₈ + ... + T₁₃₆.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (397673) and next prime (397687).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 589 + ... + 1068.

2³⁹⁷⁶⁸⁰ is an apocalyptic number.

397680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

397680 is an abundant number, since it is smaller than the sum of its proper divisors (835872).

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

397680 is a wasteful number, since it uses less digits than its factorization.

397680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 397680 is about 630.6187437747. The cubic root of 397680 is about 73.5379044622.

The spelling of 397680 in words is "three hundred ninety-seven thousand, six hundred eighty".