409608052 has 36 divisors (see below), whose sum is σ = 835065504. Its totient is φ = 175289520.

The previous prime is 409608029. The next prime is 409608103. The reversal of 409608052 is 250806904.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 409607999 and 409608017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201063 + ... + 203089.

It is an arithmetic number, because the mean of its divisors is an integer number (23196264).

Almost surely, 2^409608052 is an apocalyptic number.

It is an amenable number.

409608052 is an abundant number, since it is smaller than the sum of its proper divisors (425457452).

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

409608052 is a wasteful number, since it uses less digits than its factorization.

409608052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 409608052 is about 20238.7759511291. The cubic root of 409608052 is about 742.6590797619.

The spelling of 409608052 in words is "four hundred nine million, six hundred eight thousand, fifty-two".