412496100 has 81 divisors (see below), whose sum is σ = 1294858747. Its totient is φ = 109836480.

The previous prime is 412496083. The next prime is 412496107. The reversal of 412496100 is 1694214.

The square root of 412496100 is 20310.

It is a perfect power (a square), and thus also a powerful number.

412496100 is a `hidden beast` number, since 4 + 1 + 2 + 49 + 610 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118853604 + 293642496 = 10902^2 + 17136^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (412496107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 608962 + ... + 609638.

Almost surely, 2^412496100 is an apocalyptic number.

412496100 is the 20310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412496100

412496100 is an abundant number, since it is smaller than the sum of its proper divisors (882362647).

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

412496100 is a wasteful number, since it uses less digits than its factorization.

412496100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 687 counting only the distinct ones).

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

The cubic root of 412496100 is about 744.4004304729.

The spelling of 412496100 in words is "four hundred twelve million, four hundred ninety-six thousand, one hundred".