424616400 has 360 divisors, whose sum is σ = 1631485856. Its totient is φ = 101606400.

The previous prime is 424616383. The next prime is 424616411. The reversal of 424616400 is 4616424.

424616400 is a `hidden beast` number, since 4 + 2 + 4 + 616 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2012295 + ... + 2012505.

Almost surely, 2^424616400 is an apocalyptic number.

424616400 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 424616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815742928).

424616400 is an abundant number, since it is smaller than the sum of its proper divisors (1206869456).

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

424616400 is a wasteful number, since it uses less digits than its factorization.

424616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 277 counting only the distinct ones).

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

The square root of 424616400 is about 20606.2223612190. Note that the first 3 decimals coincide. The cubic root of 424616400 is about 751.6210271703.

The spelling of 424616400 in words is "four hundred twenty-four million, six hundred sixteen thousand, four hundred".