400680880 has 80 divisors (see below), whose sum is σ = 959001120. Its totient is φ = 155602944.

The previous prime is 400680853. The next prime is 400680883. The reversal of 400680880 is 88086004.

400680880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (400680883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 925144 + ... + 925576.

It is an arithmetic number, because the mean of its divisors is an integer number (11987514).

Almost surely, 2^400680880 is an apocalyptic number.

400680880 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 400680880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479500560).

400680880 is an abundant number, since it is smaller than the sum of its proper divisors (558320240).

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

400680880 is a wasteful number, since it uses less digits than its factorization.

400680880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 400680880 is about 20017.0147624465. The cubic root of 400680880 is about 737.2241266372.

The spelling of 400680880 in words is "four hundred million, six hundred eighty thousand, eight hundred eighty".