412535214 has 192 divisors, whose sum is σ = 1172102400. Its totient is φ = 106577856.

The previous prime is 412535213. The next prime is 412535219.

412535214 is a `hidden beast` number, since 412 + 5 + 35 + 214 = 666.

412535214 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412535213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2304577 + ... + 2304755.

It is an arithmetic number, because the mean of its divisors is an integer number (6104700).

Almost surely, 2^412535214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412535214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586051200).

412535214 is an abundant number, since it is smaller than the sum of its proper divisors (759567186).

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

412535214 is a wasteful number, since it uses less digits than its factorization.

412535214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 412535214 is about 20310.9629018420. The cubic root of 412535214 is about 744.4239584191.

The spelling of 412535214 in words is "four hundred twelve million, five hundred thirty-five thousand, two hundred fourteen".