410149404 has 216 divisors, whose sum is σ = 1270524528. Its totient is φ = 111121920.

The previous prime is 410149393. The next prime is 410149423. The reversal of 410149404 is 404941014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3833119 + ... + 3833225.

It is an arithmetic number, because the mean of its divisors is an integer number (5882058).

Almost surely, 2^410149404 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 410149404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635262264).

410149404 is an abundant number, since it is smaller than the sum of its proper divisors (860375124).

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

410149404 is a wasteful number, since it uses less digits than its factorization.

410149404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 410149404 is about 20252.1456641019. The cubic root of 410149404 is about 742.9861102728.

The spelling of 410149404 in words is "four hundred ten million, one hundred forty-nine thousand, four hundred four".