410844672 has 240 divisors, whose sum is σ = 1389053952. Its totient is φ = 114462720.

The previous prime is 410844667. The next prime is 410844673. The reversal of 410844672 is 276448014.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410844673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1515897 + ... + 1516167.

Almost surely, 2^410844672 is an apocalyptic number.

410844672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410844672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694526976).

410844672 is an abundant number, since it is smaller than the sum of its proper divisors (978209280).

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

410844672 is a wasteful number, since it uses less digits than its factorization.

410844672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 410844672 is about 20269.3036880895. The cubic root of 410844672 is about 743.4056995287.

The spelling of 410844672 in words is "four hundred ten million, eight hundred forty-four thousand, six hundred seventy-two".