409653620 has 48 divisors (see below), whose sum is σ = 871084368. Its totient is φ = 161817600.

The previous prime is 409653619. The next prime is 409653679. The reversal of 409653620 is 26356904.

It can be written as a sum of positive squares in 8 ways, for example, as 161086864 + 248566756 = 12692^2 + 15766^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681320 + ... + 681920.

It is an arithmetic number, because the mean of its divisors is an integer number (18147591).

Almost surely, 2^409653620 is an apocalyptic number.

It is an amenable number.

409653620 is an abundant number, since it is smaller than the sum of its proper divisors (461430748).

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

409653620 is a wasteful number, since it uses less digits than its factorization.

409653620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 409653620 is about 20239.9016796031. The cubic root of 409653620 is about 742.6866184736.

The spelling of 409653620 in words is "four hundred nine million, six hundred fifty-three thousand, six hundred twenty".