409489704 has 144 divisors (see below), whose sum is σ = 1219998780. Its totient is φ = 124001280.

The previous prime is 409489687. The next prime is 409489721. The reversal of 409489704 is 407984904.

It is an interprime number because it is at equal distance from previous prime (409489687) and next prime (409489721).

It can be written as a sum of positive squares in 6 ways, for example, as 44756100 + 364733604 = 6690^2 + 19098^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 409489704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 888034 + ... + 888494.

Almost surely, 2^409489704 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 409489704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609999390).

409489704 is an abundant number, since it is smaller than the sum of its proper divisors (810509076).

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

409489704 is a wasteful number, since it uses less digits than its factorization.

409489704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 409489704 is about 20235.8519464835. The cubic root of 409489704 is about 742.5875474092.

The spelling of 409489704 in words is "four hundred nine million, four hundred eighty-nine thousand, seven hundred four".