410225904 has 160 divisors (see below), whose sum is σ = 1294560000. Its totient is φ = 123344640.

The previous prime is 410225899. The next prime is 410225927. The reversal of 410225904 is 409522014.

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

It is a zygodrome in base 2.

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, 821847 + ... + 822345.

It is an arithmetic number, because the mean of its divisors is an integer number (8091000).

Almost surely, 2^410225904 is an apocalyptic number.

410225904 is a gapful number since it is divisible by the number (44) 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 410225904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647280000).

410225904 is an abundant number, since it is smaller than the sum of its proper divisors (884334096).

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

410225904 is a wasteful number, since it uses less digits than its factorization.

410225904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 410225904 is about 20254.0342648076. The cubic root of 410225904 is about 743.0323006801.

Adding to 410225904 its reverse (409522014), we get a palindrome (819747918).

The spelling of 410225904 in words is "four hundred ten million, two hundred twenty-five thousand, nine hundred four".