634400424 has 320 divisors, whose sum is σ = 2268604800. Its totient is φ = 161243136.

The previous prime is 634400413. The next prime is 634400453. The reversal of 634400424 is 424004436.

634400424 is a `hidden beast` number, since 634 + 4 + 0 + 0 + 4 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 1464912 + ... + 1465344.

It is an arithmetic number, because the mean of its divisors is an integer number (7089390).

Almost surely, 2^634400424 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 634400424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134302400).

634400424 is an abundant number, since it is smaller than the sum of its proper divisors (1634204376).

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

634400424 is a wasteful number, since it uses less digits than its factorization.

634400424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 634400424 is about 25187.3068032293. The cubic root of 634400424 is about 859.2531933922.

The spelling of 634400424 in words is "six hundred thirty-four million, four hundred thousand, four hundred twenty-four".