412351641 has 40 divisors (see below), whose sum is σ = 667131080. Its totient is φ = 252315648.

The previous prime is 412351631. The next prime is 412351663. The reversal of 412351641 is 146153214.

It is a happy number.

412351641 is a `hidden beast` number, since 4 + 12 + 3 + 5 + 1 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65610000 + 346741641 = 8100^2 + 18621^2 .

It is not a de Polignac number, because 412351641 - 2¹⁸ = 412089497 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412351631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 202215 + ... + 204243.

It is an arithmetic number, because the mean of its divisors is an integer number (16678277).

Almost surely, 2^412351641 is an apocalyptic number.

It is an amenable number.

412351641 is a deficient number, since it is larger than the sum of its proper divisors (254779439).

412351641 is a wasteful number, since it uses less digits than its factorization.

412351641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2238 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 412351641 is about 20306.4433370298. The cubic root of 412351641 is about 744.3135222593.

The spelling of 412351641 in words is "four hundred twelve million, three hundred fifty-one thousand, six hundred forty-one".