412852140 has 288 divisors, whose sum is σ = 1452971520. Its totient is φ = 97790976.

The previous prime is 412852129. The next prime is 412852147. The reversal of 412852140 is 41258214.

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

It is not an unprimeable number, because it can be changed into a prime (412852147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1569649 + ... + 1569911.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2^412852140 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 412852140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726485760).

412852140 is an abundant number, since it is smaller than the sum of its proper divisors (1040119380).

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

412852140 is a wasteful number, since it uses less digits than its factorization.

412852140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 412852140 is about 20318.7632497650. The cubic root of 412852140 is about 744.6145416784.

The spelling of 412852140 in words is "four hundred twelve million, eight hundred fifty-two thousand, one hundred forty".