414213000 has 64 divisors (see below), whose sum is σ = 1292353920. Its totient is φ = 110456000.

The previous prime is 414212987. The next prime is 414213011. The reversal of 414213000 is 312414.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66036 + ... + 72035.

It is an arithmetic number, because the mean of its divisors is an integer number (20193030).

Almost surely, 2^414213000 is an apocalyptic number.

414213000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414213000 is an abundant number, since it is smaller than the sum of its proper divisors (878140920).

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

414213000 is a wasteful number, since it uses less digits than its factorization.

414213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138095 (or 138081 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 414213000 is about 20352.2234657543. The cubic root of 414213000 is about 745.4317872922.

Adding to 414213000 its reverse (312414), we get a palindrome (414525414).

The spelling of 414213000 in words is "four hundred fourteen million, two hundred thirteen thousand".