400705600 has 42 divisors (see below), whose sum is σ = 985990154. Its totient is φ = 160281600.

The previous prime is 400705567. The next prime is 400705601. The reversal of 400705600 is 6507004.

It can be written as a sum of positive squares in 3 ways, for example, as 128323584 + 272382016 = 11328^2 + 16504^2 .

It is not an unprimeable number, because it can be changed into a prime (400705601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123621 + ... + 126820.

Almost surely, 2^400705600 is an apocalyptic number.

400705600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400705600 is an abundant number, since it is smaller than the sum of its proper divisors (585284554).

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

400705600 is a wasteful number, since it uses less digits than its factorization.

400705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250463 (or 250448 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 400705600 is about 20017.6322276137. The cubic root of 400705600 is about 737.2392873353.

It can be divided in two parts, 400 and 705600, that multiplied together give a square (282240000 = 16800²).

The spelling of 400705600 in words is "four hundred million, seven hundred five thousand, six hundred".