408249952 has 48 divisors (see below), whose sum is σ = 878450832. Its totient is φ = 185221120.

The previous prime is 408249923. The next prime is 408249953. The reversal of 408249952 is 259942804.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 408249899 and 408249908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408249953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334848 + ... + 336064.

It is an arithmetic number, because the mean of its divisors is an integer number (18301059).

Almost surely, 2^408249952 is an apocalyptic number.

It is an amenable number.

408249952 is an abundant number, since it is smaller than the sum of its proper divisors (470200880).

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

408249952 is a wasteful number, since it uses less digits than its factorization.

408249952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 408249952 is about 20205.1961633635. The cubic root of 408249952 is about 741.8373819929.

The spelling of 408249952 in words is "four hundred eight million, two hundred forty-nine thousand, nine hundred fifty-two".