400684400 has 60 divisors (see below), whose sum is σ = 983172192. Its totient is φ = 156856320.

The previous prime is 400684397. The next prime is 400684411. The reversal of 400684400 is 4486004.

It is a self number, because there is not a number n which added to its sum of digits gives 400684400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8144 + ... + 29456.

Almost surely, 2^400684400 is an apocalyptic number.

400684400 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 400684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491586096).

400684400 is an abundant number, since it is smaller than the sum of its proper divisors (582487792).

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

400684400 is a wasteful number, since it uses less digits than its factorization.

400684400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21378 (or 21367 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 400684400 is about 20017.1026874520. The cubic root of 400684400 is about 737.2262854801.

The spelling of 400684400 in words is "four hundred million, six hundred eighty-four thousand, four hundred".