410728920 has 128 divisors (see below), whose sum is σ = 1453731840. Its totient is φ = 90846720.

The previous prime is 410728907. The next prime is 410728931. The reversal of 410728920 is 29827014.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18154 + ... + 33926.

It is an arithmetic number, because the mean of its divisors is an integer number (11357280).

Almost surely, 2^410728920 is an apocalyptic number.

410728920 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 410728920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726865920).

410728920 is an abundant number, since it is smaller than the sum of its proper divisors (1043002920).

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

410728920 is a wasteful number, since it uses less digits than its factorization.

410728920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15825 (or 15821 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 410728920 is about 20266.4481347867. The cubic root of 410728920 is about 743.3358768885.

The spelling of 410728920 in words is "four hundred ten million, seven hundred twenty-eight thousand, nine hundred twenty".