412464100 has 72 divisors (see below), whose sum is σ = 948767400. Its totient is φ = 155366400.

The previous prime is 412464077. The next prime is 412464113. The reversal of 412464100 is 1464214.

It can be written as a sum of positive squares in 12 ways, for example, as 331895524 + 80568576 = 18218^2 + 8976^2 .

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, 117166 + ... + 120634.

It is an arithmetic number, because the mean of its divisors is an integer number (13177325).

Almost surely, 2^412464100 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 412464100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474383700).

412464100 is an abundant number, since it is smaller than the sum of its proper divisors (536303300).

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

412464100 is a wasteful number, since it uses less digits than its factorization.

412464100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 412464100 is about 20309.2121954546. The cubic root of 412464100 is about 744.3811806507.

The spelling of 412464100 in words is "four hundred twelve million, four hundred sixty-four thousand, one hundred".