400183680 has 128 divisors (see below), whose sum is σ = 1373793120. Its totient is φ = 98500608.

The previous prime is 400183639. The next prime is 400183691. The reversal of 400183680 is 86381004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16944 + ... + 32976.

Almost surely, 2^400183680 is an apocalyptic number.

400183680 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 400183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686896560).

400183680 is an abundant number, since it is smaller than the sum of its proper divisors (973609440).

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

400183680 is a wasteful number, since it uses less digits than its factorization.

400183680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16068 (or 16056 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 400183680 is about 20004.5914729594. The cubic root of 400183680 is about 736.9190629538.

The spelling of 400183680 in words is "four hundred million, one hundred eighty-three thousand, six hundred eighty".