412414200 has 384 divisors, whose sum is σ = 1590969600. Its totient is φ = 97344000.

The previous prime is 412414199. The next prime is 412414213. The reversal of 412414200 is 2414214.

412414200 is a `hidden beast` number, since 4 + 1 + 241 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3148135 + ... + 3148265.

It is an arithmetic number, because the mean of its divisors is an integer number (4143150).

Almost surely, 2^412414200 is an apocalyptic number.

412414200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795484800).

412414200 is an abundant number, since it is smaller than the sum of its proper divisors (1178555400).

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

412414200 is a wasteful number, since it uses less digits than its factorization.

412414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 412414200 is about 20307.9836517563. The cubic root of 412414200 is about 744.3511609722.

Adding to 412414200 its reverse (2414214), we get a palindrome (414828414).

The spelling of 412414200 in words is "four hundred twelve million, four hundred fourteen thousand, two hundred".