409496952 has 64 divisors (see below), whose sum is σ = 1086151680. Its totient is φ = 128210432.

The previous prime is 409496951. The next prime is 409496957. The reversal of 409496952 is 259694904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409496951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351523 + ... + 352685.

It is an arithmetic number, because the mean of its divisors is an integer number (16971120).

Almost surely, 2^409496952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409496952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543075840).

409496952 is an abundant number, since it is smaller than the sum of its proper divisors (676654728).

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

409496952 is a wasteful number, since it uses less digits than its factorization.

409496952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 409496952 is about 20236.0310337773. The cubic root of 409496952 is about 742.5919286693.

The spelling of 409496952 in words is "four hundred nine million, four hundred ninety-six thousand, nine hundred fifty-two".