409244832 has 96 divisors (see below), whose sum is σ = 1198834560. Its totient is φ = 135820800.

The previous prime is 409244831. The next prime is 409244833. The reversal of 409244832 is 238442904.

409244832 is a `hidden beast` number, since 409 + 244 + 8 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (409244831) and next prime (409244833).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409244831) 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, 226332 + ... + 228132.

It is an arithmetic number, because the mean of its divisors is an integer number (12487860).

Almost surely, 2^409244832 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 409244832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599417280).

409244832 is an abundant number, since it is smaller than the sum of its proper divisors (789589728).

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

409244832 is a wasteful number, since it uses less digits than its factorization.

409244832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 409244832 is about 20229.8005921957. The cubic root of 409244832 is about 742.4394971617.

The spelling of 409244832 in words is "four hundred nine million, two hundred forty-four thousand, eight hundred thirty-two".