414213100 has 72 divisors (see below), whose sum is σ = 1034065760. Its totient is φ = 141073920.

The previous prime is 414213089. The next prime is 414213101. The reversal of 414213100 is 1312414.

It is a super-2 number, since 2×414213100² = 343144984423220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414213101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108016 + ... + 111784.

Almost surely, 2^414213100 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 414213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517032880).

414213100 is an abundant number, since it is smaller than the sum of its proper divisors (619852660).

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

414213100 is a wasteful number, since it uses less digits than its factorization.

414213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 414213100 is about 20352.2259224882. The cubic root of 414213100 is about 745.4318472800.

Adding to 414213100 its reverse (1312414), we get a palindrome (415525514).

It can be divided in two parts, 41421 and 3100, that added together give a square (44521 = 211²).

The spelling of 414213100 in words is "four hundred fourteen million, two hundred thirteen thousand, one hundred".