424105632 has 60 divisors (see below), whose sum is σ = 1247290506. Its totient is φ = 141367680.

The previous prime is 424105601. The next prime is 424105651. The reversal of 424105632 is 236501424.

424105632 is a `hidden beast` number, since 4 + 24 + 1 + 0 + 5 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 419594256 + 4511376 = 20484^2 + 2124^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 424105596 and 424105605.

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 9 ways as a sum of consecutive naturals, for example, 79219 + ... + 84402.

Almost surely, 2^424105632 is an apocalyptic number.

It is an amenable number.

424105632 is an abundant number, since it is smaller than the sum of its proper divisors (823184874).

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

424105632 is a wasteful number, since it uses less digits than its factorization.

424105632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163643 (or 163626 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 424105632 is about 20593.8250939450. The cubic root of 424105632 is about 751.3195330818.

The spelling of 424105632 in words is "four hundred twenty-four million, one hundred five thousand, six hundred thirty-two".