400680 has 128 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 89856.

The previous prime is 400679. The next prime is 400681. The reversal of 400680 is 86004.

It is an interprime number because it is at equal distance from previous prime (400679) and next prime (400681).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (400681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7534 + ... + 7586.

It is an arithmetic number, because the mean of its divisors is an integer number (12150).

2⁴⁰⁰⁶⁸⁰ is an apocalyptic number.

400680 is a gapful number since it is divisible by the number (40) 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 400680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777600).

400680 is an abundant number, since it is smaller than the sum of its proper divisors (1154520).

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

400680 is a wasteful number, since it uses less digits than its factorization.

400680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 400680 is about 632.9928909553. The cubic root of 400680 is about 73.7223586924.

Adding to 400680 its reverse (86004), we get a palindrome (486684).

The spelling of 400680 in words is "four hundred thousand, six hundred eighty".