410803920 has 160 divisors (see below), whose sum is σ = 1476691200. Its totient is φ = 104772096.

The previous prime is 410803907. The next prime is 410803927. The reversal of 410803920 is 29308014.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410803927) 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, 45546 + ... + 53814.

It is an arithmetic number, because the mean of its divisors is an integer number (9229320).

Almost surely, 2^410803920 is an apocalyptic number.

410803920 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 410803920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738345600).

410803920 is an abundant number, since it is smaller than the sum of its proper divisors (1065887280).

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

410803920 is a wasteful number, since it uses less digits than its factorization.

410803920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8314 (or 8302 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 410803920 is about 20268.2983992243. The cubic root of 410803920 is about 743.3811190544.

The spelling of 410803920 in words is "four hundred ten million, eight hundred three thousand, nine hundred twenty".