400114680 has 128 divisors (see below), whose sum is σ = 1378252800. Its totient is φ = 91026432.

The previous prime is 400114571. The next prime is 400114681. The reversal of 400114680 is 86411004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 400114680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400114681) 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 31 ways as a sum of consecutive naturals, for example, 199764 + ... + 201756.

It is an arithmetic number, because the mean of its divisors is an integer number (10767600).

Almost surely, 2^400114680 is an apocalyptic number.

400114680 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 400114680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689126400).

400114680 is an abundant number, since it is smaller than the sum of its proper divisors (978138120).

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

400114680 is a wasteful number, since it uses less digits than its factorization.

400114680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 400114680 is about 20002.8667945372. The cubic root of 400114680 is about 736.8767071220.

Adding to 400114680 its reverse (86411004), we get a palindrome (486525684).

It can be divided in two parts, 4001 and 14680, that added together give a palindrome (18681).

The spelling of 400114680 in words is "four hundred million, one hundred fourteen thousand, six hundred eighty".