410788920 has 64 divisors (see below), whose sum is σ = 1238821920. Its totient is φ = 108969984.

The previous prime is 410788919. The next prime is 410788921. The reversal of 410788920 is 29887014.

It is an interprime number because it is at equal distance from previous prime (410788919) and next prime (410788921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410788921) 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, 14292 + ... + 32028.

Almost surely, 2^410788920 is an apocalyptic number.

410788920 is a gapful number since it is divisible by the number (40) 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 410788920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619410960).

410788920 is an abundant number, since it is smaller than the sum of its proper divisors (828033000).

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

410788920 is a wasteful number, since it uses less digits than its factorization.

410788920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17944 (or 17940 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 410788920 is about 20267.9283598497. The cubic root of 410788920 is about 743.3720710617.

The spelling of 410788920 in words is "four hundred ten million, seven hundred eighty-eight thousand, nine hundred twenty".