412642100 has 108 divisors (see below), whose sum is σ = 991548516. Its totient is φ = 148162560.

The previous prime is 412642033. The next prime is 412642117. The reversal of 412642100 is 1246214.

It can be written as a sum of positive squares in 18 ways, for example, as 363893776 + 48748324 = 19076^2 + 6982^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3651644 + ... + 3651756.

Almost surely, 2^412642100 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 412642100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495774258).

412642100 is an abundant number, since it is smaller than the sum of its proper divisors (578906416).

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

412642100 is a wasteful number, since it uses less digits than its factorization.

412642100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 412642100 is about 20313.5939705410. The cubic root of 412642100 is about 744.4882451560.

Adding to 412642100 its reverse (1246214), we get a palindrome (413888314).

The spelling of 412642100 in words is "four hundred twelve million, six hundred forty-two thousand, one hundred".