400416840 has 48 divisors (see below), whose sum is σ = 1301355900. Its totient is φ = 106777728.

The previous prime is 400416839. The next prime is 400416901. The reversal of 400416840 is 48614004.

It can be written as a sum of positive squares in 2 ways, for example, as 396567396 + 3849444 = 19914^2 + 1962^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555775 + ... + 556494.

Almost surely, 2^400416840 is an apocalyptic number.

400416840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400416840 is an abundant number, since it is smaller than the sum of its proper divisors (900939060).

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

400416840 is a wasteful number, since it uses less digits than its factorization.

400416840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112286 (or 1112279 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 400416840 is about 20010.4182864827. The cubic root of 400416840 is about 737.0621528221.

The spelling of 400416840 in words is "four hundred million, four hundred sixteen thousand, eight hundred forty".