412448904 has 96 divisors (see below), whose sum is σ = 1320696000. Its totient is φ = 113774976.

The previous prime is 412448867. The next prime is 412448929. The reversal of 412448904 is 409844214.

It is a super-3 number, since 3×412448904³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507 + ... + 28725.

It is an arithmetic number, because the mean of its divisors is an integer number (13757250).

Almost surely, 2^412448904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412448904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660348000).

412448904 is an abundant number, since it is smaller than the sum of its proper divisors (908247096).

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

412448904 is a wasteful number, since it uses less digits than its factorization.

412448904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28267 (or 28260 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 412448904 is about 20308.8380760692. The cubic root of 412448904 is about 744.3720390427.

The spelling of 412448904 in words is "four hundred twelve million, four hundred forty-eight thousand, nine hundred four".