400468240 has 40 divisors (see below), whose sum is σ = 932708160. Its totient is φ = 159908736.

The previous prime is 400468231. The next prime is 400468253. The reversal of 400468240 is 42864004.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×400468240² = 320749622497395200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400468199 and 400468208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45477 + ... + 53563.

It is an arithmetic number, because the mean of its divisors is an integer number (23317704).

Almost surely, 2^400468240 is an apocalyptic number.

400468240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400468240 is an abundant number, since it is smaller than the sum of its proper divisors (532239920).

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

400468240 is a wasteful number, since it uses less digits than its factorization.

400468240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719 (or 8713 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 400468240 is about 20011.7025762427. The cubic root of 400468240 is about 737.0936894359.

The spelling of 400468240 in words is "four hundred million, four hundred sixty-eight thousand, two hundred forty".