414212000 has 48 divisors (see below), whose sum is σ = 1017728712. Its totient is φ = 165683200.

The previous prime is 414211979. The next prime is 414212011. The reversal of 414212000 is 212414.

It can be written as a sum of positive squares in 4 ways, for example, as 16289296 + 397922704 = 4036^2 + 19948^2 .

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 7 ways as a sum of consecutive naturals, for example, 47777 + ... + 55776.

Almost surely, 2^414212000 is an apocalyptic number.

414212000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414212000 is an abundant number, since it is smaller than the sum of its proper divisors (603516712).

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

414212000 is a wasteful number, since it uses less digits than its factorization.

414212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103578 (or 103560 counting only the distinct ones).

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

The square root of 414212000 is about 20352.1988983992. The cubic root of 414212000 is about 745.4311874137.

Adding to 414212000 its reverse (212414), we get a palindrome (414424414).

The spelling of 414212000 in words is "four hundred fourteen million, two hundred twelve thousand".