409981932 has 96 divisors (see below), whose sum is σ = 1106380800. Its totient is φ = 131132736.

The previous prime is 409981931. The next prime is 409981933. The reversal of 409981932 is 239189904.

It is an interprime number because it is at equal distance from previous prime (409981931) and next prime (409981933).

It is not an unprimeable number, because it can be changed into a prime (409981931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698143 + ... + 698729.

It is an arithmetic number, because the mean of its divisors is an integer number (11524800).

Almost surely, 2^409981932 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 409981932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553190400).

409981932 is an abundant number, since it is smaller than the sum of its proper divisors (696398868).

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

409981932 is a wasteful number, since it uses less digits than its factorization.

409981932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 409981932 is about 20248.0105689423. The cubic root of 409981932 is about 742.8849712666.

The spelling of 409981932 in words is "four hundred nine million, nine hundred eighty-one thousand, nine hundred thirty-two".