409313352 has 192 divisors, whose sum is σ = 1310152320. Its totient is φ = 104011776.

The previous prime is 409313341. The next prime is 409313353. The reversal of 409313352 is 253313904.

It is not an unprimeable number, because it can be changed into a prime (409313353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1030818 + ... + 1031214.

It is an arithmetic number, because the mean of its divisors is an integer number (6823710).

Almost surely, 2^409313352 is an apocalyptic number.

409313352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409313352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655076160).

409313352 is an abundant number, since it is smaller than the sum of its proper divisors (900838968).

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

409313352 is a wasteful number, since it uses less digits than its factorization.

409313352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 409313352 is about 20231.4940624760. The cubic root of 409313352 is about 742.4809304810.

The spelling of 409313352 in words is "four hundred nine million, three hundred thirteen thousand, three hundred fifty-two".