414400100 has 18 divisors (see below), whose sum is σ = 899248434. Its totient is φ = 165760000.

The previous prime is 414400093. The next prime is 414400121. The reversal of 414400100 is 1004414.

It can be written as a sum of positive squares in 3 ways, for example, as 38738176 + 375661924 = 6224^2 + 19382^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2071901 + ... + 2072100.

Almost surely, 2^414400100 is an apocalyptic number.

It is an amenable number.

414400100 is an abundant number, since it is smaller than the sum of its proper divisors (484848334).

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

414400100 is a wasteful number, since it uses less digits than its factorization.

414400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144015 (or 4144008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 414400100 is about 20356.8194961787. The cubic root of 414400100 is about 745.5440075694.

Adding to 414400100 its reverse (1004414), we get a palindrome (415404514).

The spelling of 414400100 in words is "four hundred fourteen million, four hundred thousand, one hundred".