400616424 has 144 divisors (see below), whose sum is σ = 1242079020. Its totient is φ = 115937280.

The previous prime is 400616393. The next prime is 400616459. The reversal of 400616424 is 424616004.

400616424 is a `hidden beast` number, since 4 + 0 + 0 + 616 + 42 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 225900900 + 174715524 = 15030^2 + 13218^2 .

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 35 ways as a sum of consecutive naturals, for example, 269764 + ... + 271244.

Almost surely, 2^400616424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400616424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621039510).

400616424 is an abundant number, since it is smaller than the sum of its proper divisors (841462596).

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

400616424 is a wasteful number, since it uses less digits than its factorization.

400616424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 400616424 is about 20015.4046674056. The cubic root of 400616424 is about 737.1845930424.

The spelling of 400616424 in words is "four hundred million, six hundred sixteen thousand, four hundred twenty-four".